Description
This new book concerns itself with record values and branching processes as rich research areas of applied probability and satistics. Over the last few decades, numerous interesting articles on these topics appeared, dealing with theorectical problems ass well as a number of new applications. The authors have coordinated 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 rec
Chapter
Chapter 2: CHARACTERIZATIONS OF DISTRIBUTIONS VIABIVARIATE REGRESSION ON DIFFERENCES OFRECORDS
Chapter 3: REGENERATIVE BRANCHING PROCESSES
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
Chapter 4: CONDITIONAL LIMIT THEOREMSFOR CONTINUOUS TIME AND STATE BRANCHINGPROCESS
Chapter 5: LARGE FAMILIES AND EXCEEDANCES IN BRANCHING PROCESSES
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
Chapter 6: A REVIEW OF OFFSPRING EXTREMES IN BRANCHING PROCESSES
2 Maximum Family Size in Simple Branching Processes
2.1 Subcritical 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
5.1 Maximum Scores in Galton-Watson Processes
5.2 Maximum Scores in Two-Type Processes
Chapter 7: STATISTICAL INFERENCE FOR BRANCHING PROCESSES
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.
3.2 Limiting Distributions
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
4 BGW Processes with Immigration
5 Concluding Remarks and Comments
Records and Branching Processes
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