graph LR idea_045e8ef5_e27f_4569_9d77_ace2a409fdf8["Kullback-Leibler Divergence"] idea_054dd59e_cffa_4d1b_8d3b_0ea14b8fdcac["Joint Probability"] idea_105eb708_7ea9_4822_afee_299832a393f7["Variational Inference"] idea_170ccc4e_8209_4125_beb8_80683bc0f03c["Binomial Distribution"] idea_1756f4b4_f422_444f_8aef_38dbdd064c6e["Stationary Distribution"] idea_1bfd6cc5_5b7a_4bb9_ae12_32bf110e0fe4["Confidence Interval"] idea_26c7f33f_54f0_44f5_905f_b72d79efb141["Hierarchical Bayesian Model"] idea_26f36b8e_2437_4945_9884_4fb3db6f2256["Intractable Normalizing Constant"] idea_307c89ff_b161_46d8_add0_eaa54c906c9a["Bayes Factor"] idea_39628364_8da7_45c3_bac8_3324a03fd048["Quantile"] idea_3db74e87_2793_4bad_bc9a_24bdef5ee432["Maximum Likelihood Estimation"] idea_444bbbab_2ca2_4d01_aa66_294e24b54ff0["Joint Probability Distribution"] idea_454f8c46_53ab_4927_9ad7_745bc4a59363["Curse of Dimensionality"] idea_4f5015dd_386e_4bfb_81a7_6d3e25e4f1e7["Statistical Parameter"] idea_547067e8_1f29_4714_9e63_68aa271fe5ac["Monte Carlo Method"] idea_57a14c3e_9f38_43ee_bca0_19968ea58836["Markov Chain Monte Carlo"] idea_58ef03a7_696d_4ace_a108_26f6241d2864["Gradient Descent"] idea_6215ebd2_0dd9_403b_9f21_e85cbe2867cc["Weakly Informative Prior"] idea_64ef1f1f_ef10_4dca_aefe_f87cb5ce2c3f["Shrinkage Estimation"] idea_688606df_dea5_4d06_ba18_6c44f86d4594["Likelihood Ratio"] idea_6dc07667_9879_4a0b_89de_9c78c8cd1b2f["Marginalization"] idea_6dec7adc_a294_4dde_9dc5_2106590cfed0["Monte Carlo Estimation"] idea_71a538b8_7978_41bf_b566_bccaa1ac96b9["Probability Density Function"] idea_7f8235b3_3c84_4c34_9289_ca52cfef9b91["Bayes' Theorem"] idea_85ca84c8_641f_4d0f_a5b9_1a183122b97c["Probability Distribution"] idea_8aba36be_3e17_4f9a_a154_8b8f459e07ec["Beta Distribution"] idea_934c0bb0_9094_4abe_9eed_b2f62a93149c["Posterior Predictive Distribution"] idea_956914a4_b5c8_46a9_8f77_7d1d4b1b2fc3["Credible Interval"] idea_9604fb9a_8e66_4e6d_95a6_08c6d41715a4["Prior Predictive Distribution"] idea_9fdd368a_aba2_4add_87d4_7633dd1a8490["Markov Chains"] idea_abe9ad49_41b1_4a14_92ee_5963817248d6["Law of Total Probability"] idea_b6ab3f71_b665_47ac_ad67_f9c511a8e549["Rejection Sampling"] idea_b75faf6e_5848_4c74_a63c_cac9a8841ffd["Gaussian (Normal) Distribution"] idea_b8477883_8435_443e_9556_2b8171c6e015["Marginal Likelihood"] idea_c4beb02b_7eed_40d6_8dc6_5502bbdd5faa["Logarithm"] idea_c9057ea6_6d37_4312_b2af_3526378348c2["Partial Pooling"] idea_cc8e402f_cf63_4856_9fc8_73bde4e5327a["Posterior Distribution"] idea_ce467b96_70e6_4c20_a658_a64228793d76["Normal-Normal Conjugate Model"] idea_d1c6bbb3_a98b_4572_8964_39d98e3ad231["Beta-Binomial Model"] idea_d965f7b1_4828_4979_b978_d8c825cba294["Prior Distribution"] idea_dd2224f9_10a8_4ebd_809e_89b23bd33b4c["Exchangeability"] idea_e99e0b04_5a37_473d_9814_d81da3b8b9c7["Normalizing Constant"] idea_eabb12e6_74b8_4293_9a75_1fd494023334["Statistical Independence"] idea_ef5f0fa1_b568_4342_9f8e_1f0ecc7e5b19["Conjugate Prior"] idea_f4c64527_f83e_47e4_98d5_3ffc1def9fc8["Likelihood Function"] idea_fd9614ee_75b6_40ee_968d_c1cb2f27e6e9["Markov Chain"] idea_c4beb02b_7eed_40d6_8dc6_5502bbdd5faa --> idea_307c89ff_b161_46d8_add0_eaa54c906c9a idea_d965f7b1_4828_4979_b978_d8c825cba294 --> idea_b8477883_8435_443e_9556_2b8171c6e015 idea_d965f7b1_4828_4979_b978_d8c825cba294 --> idea_ef5f0fa1_b568_4342_9f8e_1f0ecc7e5b19 idea_cc8e402f_cf63_4856_9fc8_73bde4e5327a --> idea_934c0bb0_9094_4abe_9eed_b2f62a93149c idea_1bfd6cc5_5b7a_4bb9_ae12_32bf110e0fe4 --> idea_956914a4_b5c8_46a9_8f77_7d1d4b1b2fc3 idea_abe9ad49_41b1_4a14_92ee_5963817248d6 --> idea_b8477883_8435_443e_9556_2b8171c6e015 idea_26c7f33f_54f0_44f5_905f_b72d79efb141 --> idea_c9057ea6_6d37_4312_b2af_3526378348c2 idea_4f5015dd_386e_4bfb_81a7_6d3e25e4f1e7 --> idea_f4c64527_f83e_47e4_98d5_3ffc1def9fc8 idea_b8477883_8435_443e_9556_2b8171c6e015 --> idea_26f36b8e_2437_4945_9884_4fb3db6f2256 idea_d965f7b1_4828_4979_b978_d8c825cba294 --> idea_6215ebd2_0dd9_403b_9f21_e85cbe2867cc idea_eabb12e6_74b8_4293_9a75_1fd494023334 --> idea_f4c64527_f83e_47e4_98d5_3ffc1def9fc8 idea_444bbbab_2ca2_4d01_aa66_294e24b54ff0 --> idea_f4c64527_f83e_47e4_98d5_3ffc1def9fc8 idea_170ccc4e_8209_4125_beb8_80683bc0f03c --> idea_d1c6bbb3_a98b_4572_8964_39d98e3ad231 idea_ef5f0fa1_b568_4342_9f8e_1f0ecc7e5b19 --> idea_d1c6bbb3_a98b_4572_8964_39d98e3ad231 idea_85ca84c8_641f_4d0f_a5b9_1a183122b97c --> idea_d965f7b1_4828_4979_b978_d8c825cba294 idea_547067e8_1f29_4714_9e63_68aa271fe5ac --> idea_57a14c3e_9f38_43ee_bca0_19968ea58836 idea_b6ab3f71_b665_47ac_ad67_f9c511a8e549 --> idea_57a14c3e_9f38_43ee_bca0_19968ea58836 idea_7f8235b3_3c84_4c34_9289_ca52cfef9b91 --> idea_cc8e402f_cf63_4856_9fc8_73bde4e5327a idea_6dec7adc_a294_4dde_9dc5_2106590cfed0 --> idea_57a14c3e_9f38_43ee_bca0_19968ea58836 idea_fd9614ee_75b6_40ee_968d_c1cb2f27e6e9 --> idea_57a14c3e_9f38_43ee_bca0_19968ea58836 idea_6dc07667_9879_4a0b_89de_9c78c8cd1b2f --> idea_b8477883_8435_443e_9556_2b8171c6e015 idea_b8477883_8435_443e_9556_2b8171c6e015 --> idea_307c89ff_b161_46d8_add0_eaa54c906c9a idea_f4c64527_f83e_47e4_98d5_3ffc1def9fc8 --> idea_cc8e402f_cf63_4856_9fc8_73bde4e5327a idea_71a538b8_7978_41bf_b566_bccaa1ac96b9 --> idea_f4c64527_f83e_47e4_98d5_3ffc1def9fc8 idea_3db74e87_2793_4bad_bc9a_24bdef5ee432 --> idea_c9057ea6_6d37_4312_b2af_3526378348c2 idea_444bbbab_2ca2_4d01_aa66_294e24b54ff0 --> idea_26c7f33f_54f0_44f5_905f_b72d79efb141 idea_045e8ef5_e27f_4569_9d77_ace2a409fdf8 --> idea_105eb708_7ea9_4822_afee_299832a393f7 idea_26f36b8e_2437_4945_9884_4fb3db6f2256 --> idea_57a14c3e_9f38_43ee_bca0_19968ea58836 idea_7f8235b3_3c84_4c34_9289_ca52cfef9b91 --> idea_d965f7b1_4828_4979_b978_d8c825cba294 idea_054dd59e_cffa_4d1b_8d3b_0ea14b8fdcac --> idea_f4c64527_f83e_47e4_98d5_3ffc1def9fc8 idea_9604fb9a_8e66_4e6d_95a6_08c6d41715a4 --> idea_6215ebd2_0dd9_403b_9f21_e85cbe2867cc idea_58ef03a7_696d_4ace_a108_26f6241d2864 --> idea_105eb708_7ea9_4822_afee_299832a393f7 idea_6dc07667_9879_4a0b_89de_9c78c8cd1b2f --> idea_934c0bb0_9094_4abe_9eed_b2f62a93149c idea_688606df_dea5_4d06_ba18_6c44f86d4594 --> idea_307c89ff_b161_46d8_add0_eaa54c906c9a idea_26f36b8e_2437_4945_9884_4fb3db6f2256 --> idea_105eb708_7ea9_4822_afee_299832a393f7 idea_f4c64527_f83e_47e4_98d5_3ffc1def9fc8 --> idea_b8477883_8435_443e_9556_2b8171c6e015 idea_1756f4b4_f422_444f_8aef_38dbdd064c6e --> idea_57a14c3e_9f38_43ee_bca0_19968ea58836 idea_454f8c46_53ab_4927_9ad7_745bc4a59363 --> idea_26f36b8e_2437_4945_9884_4fb3db6f2256 idea_8aba36be_3e17_4f9a_a154_8b8f459e07ec --> idea_d1c6bbb3_a98b_4572_8964_39d98e3ad231 idea_d965f7b1_4828_4979_b978_d8c825cba294 --> idea_cc8e402f_cf63_4856_9fc8_73bde4e5327a idea_ef5f0fa1_b568_4342_9f8e_1f0ecc7e5b19 --> idea_ce467b96_70e6_4c20_a658_a64228793d76 idea_e99e0b04_5a37_473d_9814_d81da3b8b9c7 --> idea_26f36b8e_2437_4945_9884_4fb3db6f2256 idea_b75faf6e_5848_4c74_a63c_cac9a8841ffd --> idea_ce467b96_70e6_4c20_a658_a64228793d76 idea_547067e8_1f29_4714_9e63_68aa271fe5ac --> idea_934c0bb0_9094_4abe_9eed_b2f62a93149c idea_9fdd368a_aba2_4add_87d4_7633dd1a8490 --> idea_57a14c3e_9f38_43ee_bca0_19968ea58836 idea_85ca84c8_641f_4d0f_a5b9_1a183122b97c --> idea_f4c64527_f83e_47e4_98d5_3ffc1def9fc8 idea_cc8e402f_cf63_4856_9fc8_73bde4e5327a --> idea_ef5f0fa1_b568_4342_9f8e_1f0ecc7e5b19 idea_64ef1f1f_ef10_4dca_aefe_f87cb5ce2c3f --> idea_c9057ea6_6d37_4312_b2af_3526378348c2 idea_39628364_8da7_45c3_bac8_3324a03fd048 --> idea_956914a4_b5c8_46a9_8f77_7d1d4b1b2fc3 idea_d965f7b1_4828_4979_b978_d8c825cba294 --> idea_26c7f33f_54f0_44f5_905f_b72d79efb141 idea_cc8e402f_cf63_4856_9fc8_73bde4e5327a --> idea_956914a4_b5c8_46a9_8f77_7d1d4b1b2fc3 idea_64ef1f1f_ef10_4dca_aefe_f87cb5ce2c3f --> idea_6215ebd2_0dd9_403b_9f21_e85cbe2867cc idea_dd2224f9_10a8_4ebd_809e_89b23bd33b4c --> idea_26c7f33f_54f0_44f5_905f_b72d79efb141 style idea_eabb12e6_74b8_4293_9a75_1fd494023334 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