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Author Ahsanullah, Mohammad
Title Records and Branching Process
Imprint New York : Nova Science Publishers, Incorporated, 2008
©2008
book jacket
Descript 1 online resource (187 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Note Intro -- RECORDS AND BRANCHING PROCESSES -- RECORDS AND BRANCHING PROCESSES -- CONTENTS -- PREFACE -- CONTRIBUTORS AND AFFILIATION -- Chapter 2CHARACTERIZATIONS OF DISTRIBUTIONS VIABIVARIATE REGRESSION ON DIFFERENCES OFRECORDS -- Abstract -- 1 Introduction -- 2 Results and Proofs -- 2.1 Main result -- Acknowledgment -- References -- Chapter 3REGENERATIVE BRANCHING PROCESSES -- Abstract -- 1 Introduction -- 2 General Definition -- 3 BGW Processes with State-dependent Immigration -- 4 Continuous Time Markov Processes -- 5 Age-Dependent Branching Processes -- 6 Alternating Regenerative Processes -- 7 Continuous-State Branching Processes -- 8 Branching Processes with Migration -- 9 Time Non-Homogeneous State-Dependent Immigration -- 10 Concluding Remarks -- References -- Chapter 4CONDITIONAL LIMIT THEOREMSFOR CONTINUOUS TIME AND STATE BRANCHINGPROCESS -- Abstract -- 1 Introduction -- 2 The CB-Process -- 3 Attaining the Origin -- 4 The Critical Case -- 5 Stationary Measures -- 6 The Subcritical Case -- 7 The Last Large Jump -- References -- LARGE FAMILIES AND EXCEEDANCES INBRANCHING PROCESSES -- Abstract -- 1 Introduction -- 2 Exceeding a Threshold -- 2.1 Sequence of processes with common offspring distribution -- 2.2 Sequence of processes with distinct offspring distributions -- 2.3 Extended class of level functions for critical processes -- 2.4 Processes with immigration -- 3 Number of Highly Productive Ancestors -- 4 Large Families in Multitype Processes -- Acknowledgments -- References -- Chapter 6A REVIEW OF OFFSPRING EXTREMES INBRANCHING PROCESSES -- Abstract -- 1 Introduction -- 2 Maximum Family Size in Simple Branching Processes -- 2.1 Subcritical Processes -- 2.2 Critical Processes -- 2.3 Supercritical Processes -- 3 Maximum Family Size in Processes with Varying Environments -- 3.1 Maxima of Arrays of Zero-Modified Geometric Variables
3.2 Processes with Varying Geometric Environments -- 4 Maxima in Bisexual Processes -- 4.1 Max-Domain of Attraction of Bivariate Geometric Arrays -- 4.2 Bisexual Processes with Varying Geometric Environments -- 5 Maximum Score -- 5.1 Maximum Scores in Galton-Watson Processes -- 5.2 Maximum Scores in Two-Type Processes -- Acknowledgment -- References -- Chapter 7STATISTICAL INFERENCE FOR BRANCHINGPROCESSES -- Abstract -- 1 Introduction -- 2 Classical BGW Branching Processes -- 3 BGW Processes with an Increasing Random Numberof Ancestors -- 3.1 Estimating the Offspring Mean when Z0(n) n a.s. -- 3.4 Lotka-Nagaev Estimators -- 3.5 Heyde Moment-Type Estimators -- 3.6 Estimating the Unknown Age of the Process -- 3.7 Conditional Least Squares Estimators -- 3.8 Censored Estimators -- 3.2 Limiting Distributions -- 3.3 Harris Estimators -- 4 BGW Processes with Immigration -- 5 Concluding Remarks and Comments -- References -- INDEX
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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
Link Print version: Ahsanullah, Mohammad Records and Branching Process New York : Nova Science Publishers, Incorporated,c2008 9781604565263
Subject Distribution (Probability theory);Branching processes.;Mathematical statistics
Electronic books
Alt Author Yanev, George P
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