LEADER 05210nam 2200601 a 450 001 9910964507903321 005 20251117094921.0 010 $a1-61470-735-9 035 $a(CKB)2550000000080159 035 $a(EBL)3020217 035 $a(SSID)ssj0000692689 035 $a(PQKBManifestationID)12226694 035 $a(PQKBTitleCode)TC0000692689 035 $a(PQKBWorkID)10637241 035 $a(PQKB)11512660 035 $a(MiAaPQ)EBC3020217 035 $a(Au-PeEL)EBL3020217 035 $a(CaPaEBR)ebr10676348 035 $a(OCoLC)923663225 035 $a(BIP)18780756 035 $a(EXLCZ)992550000000080159 100 $a20080314d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aRecords and branching processes /$fMohammad Ahsanullah and George P. Yanev, editors 205 $a1st ed. 210 $aNew York $cNova Science Publishers$dc2008 215 $a1 online resource (187 p.) 300 $aDescription based upon print version of record. 311 08$a1-60456-526-8 320 $aIncludes bibliographical references and index. 327 $aIntro -- 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. 327 $a3.2 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. 330 $aThis book concerns itself with record values and branching processes as rich research areas of applied probability and statistics. Over the last few decades, numerous interesting articles on these topics appeared, dealing with theoretical problems as well as a number of new applications. The authors have co-ordinated publishing works contributed by eminent researchers from all over the world. This book presents a selection of presentations of new developments and survey papers on the subjects of record values and branching processes. It is written at intermediate level which requires knowledge of probability theory and mathematical statistics. 606 $aDistribution (Probability theory) 606 $aBranching processes 606 $aMathematical statistics 615 0$aDistribution (Probability theory) 615 0$aBranching processes. 615 0$aMathematical statistics. 676 $a519.2/4 701 $aAhsanullah$b M$g(Mohammad)$01863374 701 $aYanev$b George P$01865527 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910964507903321 996 $aRecords and branching processes$94472651 997 $aUNINA