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| Preface | ||
| Ch. 1 | Probability Tools and Preliminary Results | 1 |
| The inversion, uniqueness and continuity theorems for Fourier transforms | 1 | |
| Some auxiliary results on probability measures and stochastic processes | 12 | |
| Ch. 2 | Simple Integral Equations: Versions of the Integrated Cauchy Functional Equation | 27 |
| Lau-Rao-Shanbhag theorems | 28 | |
| The partial convolution equation and the Wiener-Hopf factorization | 35 | |
| Ch. 3 | A Version of Deny's Theorem and its Extensions: A Martingale Approach | 49 |
| Auxiliary lemmas and a symmetric measure | 50 | |
| General theorems on the integral equations | 54 | |
| A version of Deny's theorem and its extensions | 62 | |
| Bernstein's and Bochner's theorems on absolutely monotonic functions | 72 | |
| Ch. 4 | Multiple Integral Equations and Stability Theorems | 77 |
| Multiple integral equations | 78 | |
| Stability theorems | 82 | |
| Potential theoretic results: some observations | 97 | |
| Ch. 5 | Mean Residual Life Function and Hazard Measure | 103 |
| The mean residual life function and its modified versions: univariate case | 104 | |
| Hazard measure: univariate case | 113 | |
| M.r.l. function and hazard measure: multivariate case | 117 | |
| Ch. 6 | Properties Based on Fourier or Mellin Transforms | 133 |
| The Dugue and Behboodian problems | 133 | |
| Certain characterizations based on sphericity and ellipticity | 141 | |
| Stable distributions and related characterizations | 153 | |
| Ch. 7 | Damage Models and Partial Independence | 163 |
| The Rao-Rubin and Shanbhag theorems and related results | 164 | |
| An extended Spitzer integral representation theorem and modified Rao-Rubin conditions | 175 | |
| Some characterizations based on partial independence | 186 | |
| Ch. 8 | Order Statistics, Record Values and Properties in Applied Probability | 195 |
| Characterizations based on order statistics and record values | 195 | |
| Characterizations of point processes | 208 | |
| Functional equations in applied stochastic processes and related results | 220 | |
| Ch. 9 | Characterizations Based on Regression and Related Statistical Properties | 229 |
| The Laha-Lukacs result and its variants | 230 | |
| Extensions of the Kagan-Linnik-Rao theorem | 246 | |
| Characterizations of mixtures based on exchangeability | 258 | |
| Further statistical results | 263 | |
| Bibliography | 269 | |
| Index | 287 |
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| $140.00 | Digital |
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Add Choquet-Deny Type Functional Equations with Applications to Scholastic Models: Equations with Applications to Probability & Statistics, The ICFE was originally introduced to characterize a probability distribution by some invariant property under a stochastic change (damage) to the original random variable, and it is a generalization of a certain version of the Choquet-Deny convolution eq, Choquet-Deny Type Functional Equations with Applications to Scholastic Models: Equations with Applications to Probability and Statistics to the inventory that you are selling on WonderClubX
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Add Choquet-Deny Type Functional Equations with Applications to Scholastic Models: Equations with Applications to Probability & Statistics, The ICFE was originally introduced to characterize a probability distribution by some invariant property under a stochastic change (damage) to the original random variable, and it is a generalization of a certain version of the Choquet-Deny convolution eq, Choquet-Deny Type Functional Equations with Applications to Scholastic Models: Equations with Applications to Probability and Statistics to your collection on WonderClub |