| Description |
1 online resource (viii, 180 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Applied statistical science
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Applied statistical science.
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| Bibliography |
Includes bibliographical references and index. |
| Contents |
Intro; Contents; Preface; Chapter 1; Basic Properties; 1.1. Introduction; Theorem 1.1.1.; Proof; Theorem 1.1.2.; Theorem 1.1.3.; Proof of Theorem 1.1.3.; Theorem 1.1.4.; Proof of Theorem 1.1.4.; Theorem 1.1.5.; Proof; Theorem 1.1.6.; Proof; Theorem 1.1.7.; Proof; Proof; 1.2. Order Statistics; Theorem 1.2.1.; Proof; Theorem 1.2.2.; Theorem 1.2.3.; Theorem 1.2.4.; Theorem 1.2.5.; Theorem 1.2.6.; 1.3. Record Values; 1.3.1. Definition of Record Values and Record Times; 1.3.2. The Exact Distribution of Record Values for Continuous Random Variables; 1.3.3. Conditional Distribution; Theorem 1.3.1. |
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ProofTheorem 1.3.2.; 1.3.4. Representations of Records; 1.3.4.1. Representations of Upper Records; Theorem 1.3.1. The Following Equality Holds; Proof; Proof; 1.3.4.2. Representation of Lower Records; 1.4. Generalized Order Statistics; Definitions; 1.4.1. Dual Generalized Order Statistics (dgos); Chapter 2; Characterizations by Order Statistics; 2.1. Characterizations by Conditional Expectations; Theorem 2.1.1.; Theorem 2.1.2.; Theorem 2.1.3.; Theorem 2.1.4.; Proof; Theorem 2.1.5.; Proof; Theorem 2.1.6.; Theorem 2.1.7.; Proof; Theorem 2.1.8.; Theorem 2.1.9. |
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2.2. Characterization by Equality of DistributionsTheorem 2.2.1.; Theorem 2.2.2.; Proof; Theorem 2.2.3.; Proof; Theorem 2.2.4.; Theorem 2.2.5.; Proof; Proof; Theorem 2.2.6.; Proof; Result 2.2.1.; Result 2.2.2.; Theorem 2.2.7.; Theorem 2.2.8.; Theorem 2.2.9.; Theorem 2.2.10.; Theorem 2.2.11.; 2.3. Characterization by Independence Properties; Theorem 2.3.1.; Proof; Theorem 2.3.2.; Theorem 2.3.3.; Chapter 3; Characterizations by Record Values; 3.1. Characterizations by Independence Properties; Theorem 3.1.1.; Proof; Theorem 3.1.2.; Proof; Theorem 3.1.3.; Proof; Lemma 3.1.1.; Proof |
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3.2. Characterizations by Equality in DistributionsProof; Theorem 3.2.3.; Proof; Theorem 3.2.4.; Proof; Theorem 3.2.5.; Proof; Remark 3.2.1.; Theorem 3.2.6.; Proof; 3.3. Characterizations by Moments and Conditional Moments; Theorem 3.3.1.; Proof; Theorem 3.3.2.; Theorem 3.3.3.; Proof; Theorem 3.3.4.; Proof; 3.4. Characterizations by Equality in Hazard Rates; Theorem 3.4.1.; Proof; 3.5. Characterizations by Lower Records; Theorem 3.5.1.; Lemma 3.5.1.; Proof; Proof of the Theorem 3.3.4.; Define; Theorem 3.5.2.; Chapter 4; Characterizations by Generalized Order Statistics |
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4.1. Characterizations by Conditional ExpectationsTheorem 4.1.1.; Proof; Theorem 4.1.2.; Proof; Theorem A; Theorem 4.1.3.; Remark 4.1.1.; Theorem 4.1.4.; Theorem 4.1.5.; Proof; 4.2. Characterizations by Independence Properties; Theorem 4.2.1.; Proof; Remark 4.2.1.; 4.3. Characterizations by Identical Distributions; Theorem 4.3.1.; Proof; Remark 4.3.1.; Remark 4.3.2.; Theorem 4.3.2.; Theorem 4.3.3.; Appendix; Assumptions A; Lemma 2.1.; Lemma 2.2.; References; About the Author; Index; Blank Page. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Distribution (Probability theory)
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Distribution (Probability theory) |
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Variables (Mathematics)
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Variables (Mathematics) |
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distribution (statistics-related concept) |
| Genre/Form |
Electronic books.
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| Other Form: |
Print version: Ahsanullah, Mohammad. Characterizations of exponential distribution by ordered random variables. Hauppauge, New York : Nova Science Publishers, Inc., 2019 9781536154023 (DLC) 2019017069 |
| ISBN |
1536154032 (electronic book) |
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9781536154030 (electronic book) |
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9781536154023 (paperback) |
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