diff --git a/bilby/core/prior.py b/bilby/core/prior.py
index 7378efc80b859fc365d5b9ee2c3190e688cee096..0cd8ff06d45ea8a15091230198be33eea1fac3d7 100644
--- a/bilby/core/prior.py
+++ b/bilby/core/prior.py
@@ -15,7 +15,7 @@ import bilby  # noqa
 import inspect
 
 
-class PriorSet(OrderedDict):
+class PriorDict(OrderedDict):
     def __init__(self, dictionary=None, filename=None):
         """ A set of priors
 
@@ -238,6 +238,14 @@ class PriorSet(OrderedDict):
         return False
 
 
+class PriorSet(PriorDict):
+
+    def __init__(self, dictionary=None, filename=None):
+        """ DEPRECATED: USE PriorDict INSTEAD"""
+        logger.warning("The name 'PriorSet' is deprecated use 'PriorDict' instead")
+        super(PriorSet, self).__init__(dictionary, filename)
+
+
 def create_default_prior(name, default_priors_file=None):
     """Make a default prior for a parameter with a known name.
 
@@ -261,7 +269,7 @@ def create_default_prior(name, default_priors_file=None):
             "No prior file given.")
         prior = None
     else:
-        default_priors = PriorSet(filename=default_priors_file)
+        default_priors = PriorDict(filename=default_priors_file)
         if name in default_priors.keys():
             prior = default_priors[name]
         else:
diff --git a/bilby/core/result.py b/bilby/core/result.py
index 86faa4aa732370ad89a82f8f3d14e4351c7eef52..cf83499c739244e46c5b4f1a34705bfb64eed9e8 100644
--- a/bilby/core/result.py
+++ b/bilby/core/result.py
@@ -10,7 +10,7 @@ from collections import OrderedDict
 
 from . import utils
 from .utils import logger, infer_parameters_from_function
-from .prior import PriorSet, DeltaFunction
+from .prior import PriorDict, DeltaFunction
 
 
 def result_file_name(outdir, label):
@@ -81,7 +81,7 @@ class Result(dict):
                 setattr(self, key, val)
 
         if getattr(self, 'priors', None) is not None:
-            self.priors = PriorSet(self.priors)
+            self.priors = PriorDict(self.priors)
 
     def __add__(self, other):
         matches = ['sampler', 'search_parameter_keys']
diff --git a/bilby/core/sampler/__init__.py b/bilby/core/sampler/__init__.py
index da6bdecd0465ab33eae5723abfb7532b8accad77..2c5d374c748aafe599fb51a577a7670db41587f6 100644
--- a/bilby/core/sampler/__init__.py
+++ b/bilby/core/sampler/__init__.py
@@ -4,7 +4,7 @@ import datetime
 from collections import OrderedDict
 
 from ..utils import command_line_args, logger
-from ..prior import PriorSet
+from ..prior import PriorDict
 
 from .base_sampler import Sampler
 from .cpnest import Cpnest
@@ -99,8 +99,8 @@ def run_sampler(likelihood, priors=None, label='label', outdir='outdir',
         priors = dict()
 
     if type(priors) in [dict, OrderedDict]:
-        priors = PriorSet(priors)
-    elif isinstance(priors, PriorSet):
+        priors = PriorDict(priors)
+    elif isinstance(priors, PriorDict):
         pass
     else:
         raise ValueError("Input priors not understood")
diff --git a/bilby/core/sampler/base_sampler.py b/bilby/core/sampler/base_sampler.py
index a8ddc2fb0cf68effcfdcc5ea8bfc57ccdfe66e65..37a5512aa8bbfc03fea9f0b6894187ee62d6b340 100644
--- a/bilby/core/sampler/base_sampler.py
+++ b/bilby/core/sampler/base_sampler.py
@@ -3,7 +3,7 @@ import datetime
 import numpy as np
 from pandas import DataFrame
 from ..utils import logger, command_line_args
-from ..prior import Prior, PriorSet
+from ..prior import Prior, PriorDict
 from ..result import Result, read_in_result
 
 
@@ -35,7 +35,7 @@ class Sampler(object):
     -------
     likelihood: likelihood.Likelihood
         A  object with a log_l method
-    priors: bilby.core.prior.PriorSet
+    priors: bilby.core.prior.PriorDict
         Priors to be used in the search.
         This has attributes for each parameter to be sampled.
     external_sampler: Module
@@ -74,10 +74,10 @@ class Sampler(object):
             self, likelihood, priors, outdir='outdir', label='label',
             use_ratio=False, plot=False, skip_import_verification=False, **kwargs):
         self.likelihood = likelihood
-        if isinstance(priors, PriorSet):
+        if isinstance(priors, PriorDict):
             self.priors = priors
         else:
-            self.priors = PriorSet(priors)
+            self.priors = PriorDict(priors)
         self.label = label
         self.outdir = outdir
         self.use_ratio = use_ratio
diff --git a/bilby/gw/likelihood.py b/bilby/gw/likelihood.py
index a06e0c1865f98a235dbcadc8b30e94d09dbd3b53..e775cd639b44dcf60e5a2ec7afdf3abdcc620de5 100644
--- a/bilby/gw/likelihood.py
+++ b/bilby/gw/likelihood.py
@@ -12,7 +12,7 @@ from ..core import likelihood
 from ..core.utils import logger
 from ..core.prior import Prior, Uniform
 from .detector import InterferometerList
-from .prior import BBHPriorSet
+from .prior import BBHPriorDict
 from .source import lal_binary_black_hole
 from .utils import noise_weighted_inner_product
 from .waveform_generator import WaveformGenerator
@@ -122,7 +122,7 @@ class GravitationalWaveTransient(likelihood.Likelihood):
                     self.interferometers.start_time,
                     self.interferometers.start_time + self.interferometers.duration)
             else:
-                self.prior[key] = BBHPriorSet()[key]
+                self.prior[key] = BBHPriorDict()[key]
 
     @property
     def prior(self):
diff --git a/bilby/gw/prior.py b/bilby/gw/prior.py
index 0907e49b6addf30dc77abb8008fa5f105a88bbad..2a1cff07c7868169b89e8f84d30beea5d52f27b3 100644
--- a/bilby/gw/prior.py
+++ b/bilby/gw/prior.py
@@ -1,7 +1,7 @@
 import os
 import numpy as np
 from scipy.interpolate import UnivariateSpline
-from ..core.prior import (PriorSet, Uniform, FromFile, Prior, DeltaFunction,
+from ..core.prior import (PriorDict, Uniform, FromFile, Prior, DeltaFunction,
                           Gaussian, Interped)
 from ..core.utils import logger
 
@@ -65,7 +65,7 @@ class AlignedSpin(Interped):
                           latex_label=latex_label, unit=unit)
 
 
-class BBHPriorSet(PriorSet):
+class BBHPriorDict(PriorDict):
     def __init__(self, dictionary=None, filename=None):
         """ Initialises a Prior set for Binary Black holes
 
@@ -82,7 +82,7 @@ class BBHPriorSet(PriorSet):
         elif filename is not None:
             if not os.path.isfile(filename):
                 filename = os.path.join(os.path.dirname(__file__), 'prior_files', filename)
-        PriorSet.__init__(self, dictionary=dictionary, filename=filename)
+        PriorDict.__init__(self, dictionary=dictionary, filename=filename)
 
     def test_redundancy(self, key):
         """
@@ -135,7 +135,15 @@ class BBHPriorSet(PriorSet):
         return redundant
 
 
-class BNSPriorSet(PriorSet):
+class BBHPriorSet(BBHPriorDict):
+
+    def __init__(self, dictionary=None, filename=None):
+        """ DEPRECATED: USE BBHPriorDict INSTEAD"""
+        logger.warning("The name 'BBHPriorSet' is deprecated use 'BBHPriorDict' instead")
+        super(BBHPriorSet, self).__init__(dictionary, filename)
+
+
+class BNSPriorDict(PriorDict):
 
     def __init__(self, dictionary=None, filename=None):
         """ Initialises a Prior set for Binary Neutron Stars
@@ -153,10 +161,10 @@ class BNSPriorSet(PriorSet):
         elif filename is not None:
             if not os.path.isfile(filename):
                 filename = os.path.join(os.path.dirname(__file__), 'prior_files', filename)
-        PriorSet.__init__(self, dictionary=dictionary, filename=filename)
+        PriorDict.__init__(self, dictionary=dictionary, filename=filename)
 
     def test_redundancy(self, key):
-        bbh_redundancy = BBHPriorSet().test_redundancy(key)
+        bbh_redundancy = BBHPriorDict().test_redundancy(key)
         if bbh_redundancy:
             return True
         redundant = False
@@ -174,6 +182,14 @@ class BNSPriorSet(PriorSet):
         return redundant
 
 
+class BNSPriorSet(BNSPriorDict):
+
+    def __init__(self, dictionary=None, filename=None):
+        """ DEPRECATED: USE BNSPriorDict INSTEAD"""
+        super(BNSPriorSet, self).__init__(dictionary, filename)
+        logger.warning("The name 'BNSPriorSet' is deprecated use 'BNSPriorDict' instead")
+
+
 Prior._default_latex_labels = {
     'mass_1': '$m_1$',
     'mass_2': '$m_2$',
@@ -203,7 +219,7 @@ Prior._default_latex_labels = {
     'delta_lambda': '$\\delta\\Lambda$'}
 
 
-class CalibrationPriorSet(PriorSet):
+class CalibrationPriorDict(PriorDict):
 
     def __init__(self, dictionary=None, filename=None):
         """ Initialises a Prior set for Binary Black holes
@@ -218,7 +234,7 @@ class CalibrationPriorSet(PriorSet):
         if dictionary is None and filename is not None:
             filename = os.path.join(os.path.dirname(__file__),
                                     'prior_files', filename)
-        PriorSet.__init__(self, dictionary=dictionary, filename=filename)
+        PriorDict.__init__(self, dictionary=dictionary, filename=filename)
         self.source = None
 
     def write_to_file(self, outdir, label):
@@ -233,7 +249,7 @@ class CalibrationPriorSet(PriorSet):
         label: str
             Label for prior.
         """
-        PriorSet.write_to_file(self, outdir=outdir, label=label)
+        PriorDict.write_to_file(self, outdir=outdir, label=label)
         if self.source is not None:
             prior_file = os.path.join(outdir, "{}.prior".format(label))
             with open(prior_file, "a") as outfile:
@@ -264,7 +280,7 @@ class CalibrationPriorSet(PriorSet):
 
         Returns
         -------
-        prior: PriorSet
+        prior: PriorDict
             Priors for the relevant parameters.
             This includes the frequencies of the nodes which are _not_ sampled.
         """
@@ -287,7 +303,7 @@ class CalibrationPriorSet(PriorSet):
         phase_sigma_nodes =\
             UnivariateSpline(frequency_array, phase_sigma)(nodes)
 
-        prior = CalibrationPriorSet()
+        prior = CalibrationPriorDict()
         for ii in range(n_nodes):
             name = "recalib_{}_amplitude_{}".format(label, ii)
             latex_label = "$A^{}_{}$".format(label, ii)
@@ -334,7 +350,7 @@ class CalibrationPriorSet(PriorSet):
 
         Returns
         -------
-        prior: PriorSet
+        prior: PriorDict
             Priors for the relevant parameters.
             This includes the frequencies of the nodes which are _not_ sampled.
         """
@@ -346,7 +362,7 @@ class CalibrationPriorSet(PriorSet):
         phase_mean_nodes = [0] * n_nodes
         phase_sigma_nodes = [phase_sigma] * n_nodes
 
-        prior = CalibrationPriorSet()
+        prior = CalibrationPriorDict()
         for ii in range(n_nodes):
             name = "recalib_{}_amplitude_{}".format(label, ii)
             latex_label = "$A^{}_{}$".format(label, ii)
@@ -366,3 +382,11 @@ class CalibrationPriorSet(PriorSet):
                                         latex_label=latex_label)
 
         return prior
+
+
+class CalibrationPriorSet(CalibrationPriorDict):
+
+    def __init__(self, dictionary=None, filename=None):
+        """ DEPRECATED: USE BNSPriorDict INSTEAD"""
+        super(CalibrationPriorSet, self).__init__(dictionary, filename)
+        logger.warning("The name 'CalibrationPriorSet' is deprecated use 'CalibrationPriorDict' instead")
diff --git a/examples/injection_examples/australian_detector.py b/examples/injection_examples/australian_detector.py
index 9fa165e03e765c65f41e52ffa705bb3e13a7af48..d770af182ce106e4b0e760a78413cb624bdf9aa7 100644
--- a/examples/injection_examples/australian_detector.py
+++ b/examples/injection_examples/australian_detector.py
@@ -89,7 +89,7 @@ for interferometer in interferometers:
     interferometer.plot_data(signal=signal, outdir=outdir, label=label)
 
 # set up priors
-priors = bilby.gw.prior.BBHPriorSet()
+priors = bilby.gw.prior.BBHPriorDict()
 for key in ['a_1', 'a_2', 'tilt_1', 'tilt_2', 'phi_12', 'phi_jl', 'psi',
             'geocent_time', 'phase']:
     priors[key] = injection_parameters[key]
diff --git a/examples/injection_examples/basic_tutorial.py b/examples/injection_examples/basic_tutorial.py
index 9fde009d64725aaa429c7c5131243951814ed2d1..d8d3bab44dcf84ab102184dff8ee192f0fd8faf9 100644
--- a/examples/injection_examples/basic_tutorial.py
+++ b/examples/injection_examples/basic_tutorial.py
@@ -64,7 +64,7 @@ ifos.inject_signal(waveform_generator=waveform_generator,
 # The above list does *not* include mass_1, mass_2, iota and luminosity
 # distance, which means those are the parameters that will be included in the
 # sampler.  If we do nothing, then the default priors get used.
-priors = bilby.gw.prior.BBHPriorSet()
+priors = bilby.gw.prior.BBHPriorDict()
 priors['geocent_time'] = bilby.core.prior.Uniform(
     minimum=injection_parameters['geocent_time'] - 1,
     maximum=injection_parameters['geocent_time'] + 1,
diff --git a/examples/injection_examples/binary_neutron_star_example.py b/examples/injection_examples/binary_neutron_star_example.py
index f46eb0e6e0defe874917a0756fa0c2b95478e8b8..f1ad6d2d372ec18049630a2b0d92f199c9fa7ad1 100644
--- a/examples/injection_examples/binary_neutron_star_example.py
+++ b/examples/injection_examples/binary_neutron_star_example.py
@@ -64,7 +64,7 @@ interferometers.inject_signal(parameters=injection_parameters,
 # Load the default prior for binary neutron stars.
 # We're going to sample in chirp_mass, symmetric_mass_ratio, lambda_tilde, and
 # delta_lambda rather than mass_1, mass_2, lambda_1, and lambda_2.
-priors = bilby.gw.prior.BNSPriorSet()
+priors = bilby.gw.prior.BNSPriorDict()
 for key in ['psi', 'geocent_time', 'ra', 'dec', 'chi_1', 'chi_2',
             'iota', 'luminosity_distance', 'phase']:
     priors[key] = injection_parameters[key]
diff --git a/examples/injection_examples/change_sampled_parameters.py b/examples/injection_examples/change_sampled_parameters.py
index 06dfa174033d12e53b02bb0f033eceeb64609da7..b2c848576bcde36985796e28c206c887411114d3 100644
--- a/examples/injection_examples/change_sampled_parameters.py
+++ b/examples/injection_examples/change_sampled_parameters.py
@@ -48,7 +48,7 @@ ifos.inject_signal(waveform_generator=waveform_generator,
 # Set up prior
 # Note it is possible to sample in different parameters to those that were
 # injected.
-priors = bilby.gw.prior.BBHPriorSet()
+priors = bilby.gw.prior.BBHPriorDict()
 priors.pop('mass_1')
 priors.pop('mass_2')
 priors.pop('luminosity_distance')
diff --git a/examples/injection_examples/eccentric_inspiral.py b/examples/injection_examples/eccentric_inspiral.py
index 2709220fc7b07e91af9597bff6872178447c7a43..ce4635c7b982cc4a44e0f7d976c1b300d0e1bc19 100644
--- a/examples/injection_examples/eccentric_inspiral.py
+++ b/examples/injection_examples/eccentric_inspiral.py
@@ -58,7 +58,7 @@ ifos.inject_signal(waveform_generator=waveform_generator,
                    parameters=injection_parameters)
 
 # Now we set up the priors on each of the binary parameters.
-priors = bilby.core.prior.PriorSet()
+priors = bilby.core.prior.PriorDict()
 priors["mass_1"] = bilby.core.prior.Uniform(
     name='mass_1', minimum=5, maximum=60, unit='$M_{\\odot}$')
 priors["mass_2"] = bilby.core.prior.Uniform(
diff --git a/examples/injection_examples/how_to_specify_the_prior.py b/examples/injection_examples/how_to_specify_the_prior.py
index 6a5eb033729cb1d3cb7f442c594084e8decd27f9..885ab328b955bc5794cf63bc194dc428972ac1fd 100644
--- a/examples/injection_examples/how_to_specify_the_prior.py
+++ b/examples/injection_examples/how_to_specify_the_prior.py
@@ -39,7 +39,7 @@ ifos.inject_signal(waveform_generator=waveform_generator,
 
 # Set up prior
 # This loads in a predefined set of priors for BBHs.
-priors = bilby.gw.prior.BBHPriorSet()
+priors = bilby.gw.prior.BBHPriorDict()
 # These parameters will not be sampled
 for key in ['tilt_1', 'tilt_2', 'phi_12', 'phi_jl', 'phase', 'iota', 'ra',
             'dec', 'geocent_time', 'psi']:
diff --git a/examples/injection_examples/marginalized_likelihood.py b/examples/injection_examples/marginalized_likelihood.py
index 05c1def463d2ddad61bbff15997e49c50f0233ec..685657725301d2ffd214aaad6f71b99eb4b257b8 100644
--- a/examples/injection_examples/marginalized_likelihood.py
+++ b/examples/injection_examples/marginalized_likelihood.py
@@ -38,7 +38,7 @@ ifos.inject_signal(waveform_generator=waveform_generator,
                    parameters=injection_parameters)
 
 # Set up prior
-priors = bilby.gw.prior.BBHPriorSet()
+priors = bilby.gw.prior.BBHPriorDict()
 # These parameters will not be sampled
 for key in ['a_1', 'a_2', 'tilt_1', 'tilt_2', 'phi_12', 'phi_jl', 'iota', 'ra',
             'dec']:
diff --git a/examples/injection_examples/plot_skymap.py b/examples/injection_examples/plot_skymap.py
index 5f1db3fc1c293dede1c59bc20445b554be135cdc..6453669ba0bc52396e892f1312351d69562e201a 100644
--- a/examples/injection_examples/plot_skymap.py
+++ b/examples/injection_examples/plot_skymap.py
@@ -30,7 +30,7 @@ ifos.set_strain_data_from_power_spectral_densities(
 ifos.inject_signal(waveform_generator=waveform_generator,
                    parameters=injection_parameters)
 
-priors = bilby.gw.prior.BBHPriorSet()
+priors = bilby.gw.prior.BBHPriorDict()
 for key in ['a_1', 'a_2', 'tilt_1', 'tilt_2', 'phi_12', 'phi_jl', 'psi',
             'mass_1', 'mass_2', 'phase', 'geocent_time', 'luminosity_distance',
             'iota']:
diff --git a/examples/open_data_examples/GW150914.py b/examples/open_data_examples/GW150914.py
index f44c9dd1cb4c82867f8880e612bf2cf0b1c711d2..f406b535f54916e360bbdc15901bd7306cffdca4 100644
--- a/examples/open_data_examples/GW150914.py
+++ b/examples/open_data_examples/GW150914.py
@@ -30,7 +30,7 @@ interferometers = bilby.gw.detector.get_event_data(label)
 # The prior is printed to the terminal at run-time.
 # You can overwrite this using the syntax below in the file,
 # or choose a fixed value by just providing a float value as the prior.
-prior = bilby.gw.prior.BBHPriorSet(filename='GW150914.prior')
+prior = bilby.gw.prior.BBHPriorDict(filename='GW150914.prior')
 
 # In this step we define a `waveform_generator`. This is out object which
 # creates the frequency-domain strain. In this instance, we are using the
diff --git a/examples/open_data_examples/GW150914_minimal.py b/examples/open_data_examples/GW150914_minimal.py
index 520fe6ae9aa3c7428207e6880660fc62dbc9f827..e37cb0003d170be2b4d832035fe26dabce7b24a8 100644
--- a/examples/open_data_examples/GW150914_minimal.py
+++ b/examples/open_data_examples/GW150914_minimal.py
@@ -6,7 +6,7 @@ stimation on GW150914 using open data.
 """
 import bilby
 
-prior = bilby.gw.prior.BBHPriorSet(filename='GW150914.prior')
+prior = bilby.gw.prior.BBHPriorDict(filename='GW150914.prior')
 interferometers = bilby.gw.detector.get_event_data("GW150914")
 likelihood = bilby.gw.likelihood.get_binary_black_hole_likelihood(interferometers)
 result = bilby.run_sampler(likelihood, prior, label='GW150914')
diff --git a/test/gw_likelihood_test.py b/test/gw_likelihood_test.py
index b497cc15057fa5c13de0f862457acb7661ce2e12..133fadde7eb3bad57b1b1d5bf20065664ec175d6 100644
--- a/test/gw_likelihood_test.py
+++ b/test/gw_likelihood_test.py
@@ -85,7 +85,7 @@ class TestGWTransient(unittest.TestCase):
             frequency_domain_source_model=bilby.gw.source.lal_binary_black_hole,
         )
 
-        self.prior = bilby.gw.prior.BBHPriorSet()
+        self.prior = bilby.gw.prior.BBHPriorDict()
         self.prior['geocent_time'] = bilby.prior.Uniform(
             minimum=self.parameters['geocent_time'] - self.duration / 2,
             maximum=self.parameters['geocent_time'] + self.duration / 2)
@@ -158,7 +158,7 @@ class TestTimeMarginalization(unittest.TestCase):
             frequency_domain_source_model=bilby.gw.source.lal_binary_black_hole,
         )
 
-        self.prior = bilby.gw.prior.BBHPriorSet()
+        self.prior = bilby.gw.prior.BBHPriorDict()
         self.prior['geocent_time'] = bilby.prior.Uniform(
             minimum=self.parameters['geocent_time'] - self.duration / 2,
             maximum=self.parameters['geocent_time'] + self.duration / 2)
@@ -224,7 +224,7 @@ class TestMarginalizedLikelihood(unittest.TestCase):
             frequency_domain_source_model=bilby.gw.source.lal_binary_black_hole,
         )
 
-        self.prior = bilby.gw.prior.BBHPriorSet()
+        self.prior = bilby.gw.prior.BBHPriorDict()
         self.prior['geocent_time'] = bilby.prior.Uniform(
             minimum=self.parameters['geocent_time'] - self.duration / 2,
             maximum=self.parameters['geocent_time'] + self.duration / 2)
@@ -287,7 +287,7 @@ class TestPhaseMarginalization(unittest.TestCase):
             frequency_domain_source_model=bilby.gw.source.lal_binary_black_hole,
         )
 
-        self.prior = bilby.gw.prior.BBHPriorSet()
+        self.prior = bilby.gw.prior.BBHPriorDict()
         self.prior['geocent_time'] = bilby.prior.Uniform(
             minimum=self.parameters['geocent_time'] - self.duration / 2,
             maximum=self.parameters['geocent_time'] + self.duration / 2)
@@ -350,7 +350,7 @@ class TestTimePhaseMarginalization(unittest.TestCase):
             frequency_domain_source_model=bilby.gw.source.lal_binary_black_hole,
         )
 
-        self.prior = bilby.gw.prior.BBHPriorSet()
+        self.prior = bilby.gw.prior.BBHPriorDict()
         self.prior['geocent_time'] = bilby.prior.Uniform(
             minimum=self.parameters['geocent_time'] - self.duration / 2,
             maximum=self.parameters['geocent_time'] + self.duration / 2)
diff --git a/test/gw_prior_test.py b/test/gw_prior_test.py
index 966ccfe2c9e27a1003a674ef4969196065300773..bb5eddad25c6c27cbd335c90c5c356839f15126d 100644
--- a/test/gw_prior_test.py
+++ b/test/gw_prior_test.py
@@ -13,7 +13,7 @@ class TestBBHPriorSet(unittest.TestCase):
             '/'.join(os.path.dirname(
                 os.path.abspath(sys.argv[0])).split('/')[:-1])
         self.filename = os.path.join(os.path.dirname(os.path.realpath(__file__)), 'prior_files/binary_black_holes.prior')
-        self.default_prior = bilby.gw.prior.BBHPriorSet(
+        self.default_prior = bilby.gw.prior.BBHPriorDict(
             filename=self.filename)
 
     def tearDown(self):
@@ -21,7 +21,7 @@ class TestBBHPriorSet(unittest.TestCase):
         del self.filename
 
     def test_create_default_prior(self):
-        default = bilby.gw.prior.BBHPriorSet()
+        default = bilby.gw.prior.BBHPriorDict()
         minima = all([self.default_prior[key].minimum == default[key].minimum
                       for key in default.keys()])
         maxima = all([self.default_prior[key].maximum == default[key].maximum
@@ -32,10 +32,10 @@ class TestBBHPriorSet(unittest.TestCase):
         self.assertTrue(all([minima, maxima, names]))
 
     def test_create_from_dict(self):
-        bilby.gw.prior.BBHPriorSet(dictionary=self.prior_dict)
+        bilby.gw.prior.BBHPriorDict(dictionary=self.prior_dict)
 
     def test_create_from_filename(self):
-        bilby.gw.prior.BBHPriorSet(filename=self.filename)
+        bilby.gw.prior.BBHPriorDict(filename=self.filename)
 
     def test_key_in_prior_not_redundant(self):
         test = self.default_prior.test_redundancy('mass_1')
@@ -62,7 +62,7 @@ class TestCalibrationPrior(unittest.TestCase):
         phase_sigma = 0.1
         n_nodes = 9
         label = 'test'
-        test = bilby.gw.prior.CalibrationPriorSet.constant_uncertainty_spline(
+        test = bilby.gw.prior.CalibrationPriorDict.constant_uncertainty_spline(
             amplitude_sigma, phase_sigma, self.minimum_frequency,
             self.maximum_frequency, n_nodes, label)
 
diff --git a/test/prior_test.py b/test/prior_test.py
index 94daee7f04c97f38b64d8bdca9d1c1ff73816549..10c00b112cd6a71d2da2bae58d2ccf6389b45328 100644
--- a/test/prior_test.py
+++ b/test/prior_test.py
@@ -304,10 +304,10 @@ class TestPriorSet(unittest.TestCase):
         self.prior_dict = dict(mass=self.first_prior,
                                speed=self.second_prior,
                                length=self.third_prior)
-        self.prior_set_from_dict = bilby.core.prior.PriorSet(dictionary=self.prior_dict)
+        self.prior_set_from_dict = bilby.core.prior.PriorDict(dictionary=self.prior_dict)
         self.default_prior_file = os.path.join(os.path.dirname(os.path.realpath(__file__)),
                                                'prior_files/binary_black_holes.prior')
-        self.prior_set_from_file = bilby.core.prior.PriorSet(filename=self.default_prior_file)
+        self.prior_set_from_file = bilby.core.prior.PriorDict(filename=self.default_prior_file)
 
     def tearDown(self):
         del self.first_prior
@@ -387,7 +387,7 @@ class TestPriorSet(unittest.TestCase):
         self.assertDictEqual(expected, self.prior_set_from_dict)
 
     def test_prior_set_from_dict_but_using_a_string(self):
-        prior_set = bilby.core.prior.PriorSet(dictionary=self.default_prior_file)
+        prior_set = bilby.core.prior.PriorDict(dictionary=self.default_prior_file)
         expected = dict(
             mass_1=bilby.core.prior.Uniform(
                 name='mass_1', minimum=5, maximum=100, unit='$M_{\\odot}$'),
@@ -416,7 +416,7 @@ class TestPriorSet(unittest.TestCase):
 
     def test_dict_argument_is_not_string_or_dict(self):
         with self.assertRaises(ValueError):
-            bilby.core.prior.PriorSet(dictionary=list())
+            bilby.core.prior.PriorDict(dictionary=list())
 
     def test_sample_subset_correct_size(self):
         size = 7
@@ -476,7 +476,7 @@ class TestFillPrior(unittest.TestCase):
         self.likelihood.parameters = dict(a=0, b=0, c=0, d=0, asdf=0, ra=1)
         self.likelihood.non_standard_sampling_parameter_keys = dict(t=8)
         self.priors = dict(a=1, b=1.1, c='string', d=bilby.core.prior.Uniform(0, 1))
-        self.priors = bilby.core.prior.PriorSet(dictionary=self.priors)
+        self.priors = bilby.core.prior.PriorDict(dictionary=self.priors)
         self.default_prior_file = os.path.join(os.path.dirname(os.path.realpath(__file__)),
                                                'prior_files/binary_black_holes.prior')
         self.priors.fill_priors(self.likelihood, self.default_prior_file)
@@ -515,7 +515,7 @@ class TestCreateDefaultPrior(unittest.TestCase):
 
     def test_bbh_params(self):
         prior_file = os.path.join(os.path.dirname(os.path.realpath(__file__)), 'prior_files/binary_black_holes.prior')
-        prior_set = bilby.core.prior.PriorSet(filename=prior_file)
+        prior_set = bilby.core.prior.PriorDict(filename=prior_file)
         for prior in prior_set:
             self.assertEqual(prior_set[prior], bilby.core.prior.create_default_prior(name=prior,
                                                                                      default_priors_file=prior_file))
diff --git a/test/result_test.py b/test/result_test.py
index 50a5e49588da7c9bc94e41a2853733256c419d87..8dabec04c819c040fb147764a7643c74d150b165 100644
--- a/test/result_test.py
+++ b/test/result_test.py
@@ -59,7 +59,7 @@ class TestResult(unittest.TestCase):
         self.result.plot_corner(parameters=dict(x=1, y=1))
 
     def test_plot_corner_with_priors(self):
-        priors = bilby.core.prior.PriorSet()
+        priors = bilby.core.prior.PriorDict()
         priors['x'] = bilby.core.prior.Uniform(-1, 1, 'x')
         priors['y'] = bilby.core.prior.Uniform(-1, 1, 'y')
         self.result.plot_corner(priors=priors)