Information and Divergence Measures
The concept of distance is important for establishing the degree of similarity and/or closeness between functions, populations, or distributions. As a result, distances are related to inferential statistics, including problems related to both estimation and hypothesis testing, as well as modelling w...
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| Formato: | Online |
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| Idioma: | inglês |
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MDPI - Multidisciplinary Digital Publishing Institute
2023
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| Acesso em linha: | ONIX_20230911_9783036583860_42 |
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| _version_ | 1869526064379723776 |
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| collection | Directory of Open Access Books |
| description | The concept of distance is important for establishing the degree of similarity and/or closeness between functions, populations, or distributions. As a result, distances are related to inferential statistics, including problems related to both estimation and hypothesis testing, as well as modelling with applications in regression analysis, multivariate analysis, actuarial science, portfolio optimization, survival analysis, reliability theory, and many other areas. Thus, entropy and divergence measures are always a central concern for scientists, researchers, medical experts, engineers, industrial managers, computer experts, data analysts, and other professionals. This reprint focuses on recent developments in information and divergence measures and presents new theoretical issues as well as solutions to important practical problems and case studies illustrating the great applicability of these innovative techniques and methods. The contributions in this reprint highlight the diversity of topics in this scientific field. |
| format | Online |
| id | doab-20.500.12854ir-113909 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1139092024-03-28T03:32:44Z Information and Divergence Measures Karagrigoriou, Alex Makrides, Andreas exponential family statistical divergence truncated exponential family truncated normal distributions double index divergence test statistic multivariate data analysis conditional independence cross tabulations extremal combinatorics graphs Han’s inequality information inequalities polymatroid rank function set function Shearer’s lemma submodularity empirical survival Jensen–Shannon divergence Kolmogorov–Smirnov two-sample test skew logistic distribution bi-logistic growth epidemic waves COVID-19 data Rényi’s pseudodistance minimum Rényi’s pseudodistance estimators restricted minimum Rényi’s pseudodistance estimators Rao-type tests divergence-based tests Multivariate Cauchy distribution (MCD) Kullback–Leibler divergence (KLD) multiple power series Lauricella D-hypergeometric series statistical K-means academic evaluation statistical manifold clustering concomitants GOS FGM family Shannon entropy Tsallis entropy Awad entropy residual entropy past entropy Fisher–Tsallis information number Tsallis divergence bootstrap discrepancy comparison probability (BDCP) discrepancy comparison probability (DCP) likelihood ratio test (LRT) model selection p-value LPI radar waveform passive interception systems Kullback–Leibler divergence joint entropy Tsallis logarithm Kaniadakis logarithm weighted Tsallis divergence weighted Kaniadakis divergence geodesic Fisher information differential geometry transversality multivariate Gaussian n/a moment condition models divergences robustness thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science::PH Physics The concept of distance is important for establishing the degree of similarity and/or closeness between functions, populations, or distributions. As a result, distances are related to inferential statistics, including problems related to both estimation and hypothesis testing, as well as modelling with applications in regression analysis, multivariate analysis, actuarial science, portfolio optimization, survival analysis, reliability theory, and many other areas. Thus, entropy and divergence measures are always a central concern for scientists, researchers, medical experts, engineers, industrial managers, computer experts, data analysts, and other professionals. This reprint focuses on recent developments in information and divergence measures and presents new theoretical issues as well as solutions to important practical problems and case studies illustrating the great applicability of these innovative techniques and methods. The contributions in this reprint highlight the diversity of topics in this scientific field. 2023-09-11T11:58:43Z 2023-09-11T11:58:43Z 2023 book ONIX_20230911_9783036583860_42 9783036583860 9783036583877 https://directory.doabooks.org/handle/20.500.12854/113909 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/7750 https://mdpi.com/books/pdfview/book/7750 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-8387-7 10.3390/books978-3-0365-8387-7 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036583860 9783036583877 282 open access |
| spellingShingle | exponential family statistical divergence truncated exponential family truncated normal distributions double index divergence test statistic multivariate data analysis conditional independence cross tabulations extremal combinatorics graphs Han’s inequality information inequalities polymatroid rank function set function Shearer’s lemma submodularity empirical survival Jensen–Shannon divergence Kolmogorov–Smirnov two-sample test skew logistic distribution bi-logistic growth epidemic waves COVID-19 data Rényi’s pseudodistance minimum Rényi’s pseudodistance estimators restricted minimum Rényi’s pseudodistance estimators Rao-type tests divergence-based tests Multivariate Cauchy distribution (MCD) Kullback–Leibler divergence (KLD) multiple power series Lauricella D-hypergeometric series statistical K-means academic evaluation statistical manifold clustering concomitants GOS FGM family Shannon entropy Tsallis entropy Awad entropy residual entropy past entropy Fisher–Tsallis information number Tsallis divergence bootstrap discrepancy comparison probability (BDCP) discrepancy comparison probability (DCP) likelihood ratio test (LRT) model selection p-value LPI radar waveform passive interception systems Kullback–Leibler divergence joint entropy Tsallis logarithm Kaniadakis logarithm weighted Tsallis divergence weighted Kaniadakis divergence geodesic Fisher information differential geometry transversality multivariate Gaussian n/a moment condition models divergences robustness thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science::PH Physics Information and Divergence Measures |
| title | Information and Divergence Measures |
| title_full | Information and Divergence Measures |
| title_fullStr | Information and Divergence Measures |
| title_full_unstemmed | Information and Divergence Measures |
| title_short | Information and Divergence Measures |
| title_sort | information and divergence measures |
| topic | exponential family statistical divergence truncated exponential family truncated normal distributions double index divergence test statistic multivariate data analysis conditional independence cross tabulations extremal combinatorics graphs Han’s inequality information inequalities polymatroid rank function set function Shearer’s lemma submodularity empirical survival Jensen–Shannon divergence Kolmogorov–Smirnov two-sample test skew logistic distribution bi-logistic growth epidemic waves COVID-19 data Rényi’s pseudodistance minimum Rényi’s pseudodistance estimators restricted minimum Rényi’s pseudodistance estimators Rao-type tests divergence-based tests Multivariate Cauchy distribution (MCD) Kullback–Leibler divergence (KLD) multiple power series Lauricella D-hypergeometric series statistical K-means academic evaluation statistical manifold clustering concomitants GOS FGM family Shannon entropy Tsallis entropy Awad entropy residual entropy past entropy Fisher–Tsallis information number Tsallis divergence bootstrap discrepancy comparison probability (BDCP) discrepancy comparison probability (DCP) likelihood ratio test (LRT) model selection p-value LPI radar waveform passive interception systems Kullback–Leibler divergence joint entropy Tsallis logarithm Kaniadakis logarithm weighted Tsallis divergence weighted Kaniadakis divergence geodesic Fisher information differential geometry transversality multivariate Gaussian n/a moment condition models divergences robustness thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science::PH Physics |
| topic_facet | exponential family statistical divergence truncated exponential family truncated normal distributions double index divergence test statistic multivariate data analysis conditional independence cross tabulations extremal combinatorics graphs Han’s inequality information inequalities polymatroid rank function set function Shearer’s lemma submodularity empirical survival Jensen–Shannon divergence Kolmogorov–Smirnov two-sample test skew logistic distribution bi-logistic growth epidemic waves COVID-19 data Rényi’s pseudodistance minimum Rényi’s pseudodistance estimators restricted minimum Rényi’s pseudodistance estimators Rao-type tests divergence-based tests Multivariate Cauchy distribution (MCD) Kullback–Leibler divergence (KLD) multiple power series Lauricella D-hypergeometric series statistical K-means academic evaluation statistical manifold clustering concomitants GOS FGM family Shannon entropy Tsallis entropy Awad entropy residual entropy past entropy Fisher–Tsallis information number Tsallis divergence bootstrap discrepancy comparison probability (BDCP) discrepancy comparison probability (DCP) likelihood ratio test (LRT) model selection p-value LPI radar waveform passive interception systems Kullback–Leibler divergence joint entropy Tsallis logarithm Kaniadakis logarithm weighted Tsallis divergence weighted Kaniadakis divergence geodesic Fisher information differential geometry transversality multivariate Gaussian n/a moment condition models divergences robustness thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science::PH Physics |
| url | ONIX_20230911_9783036583860_42 |