Title | Advances in Combinatorial Methods and Applications to Probability and Statistics [electronic resource] / edited by N. Balakrishnan |
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Imprint | Boston, MA : Birkhรคuser Boston, 1997 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-4140-9 |
Descript | XXXIV, 562 p. online resource |
IโLattice Paths and Combinatorial Methods -- 1 Lattice Paths and Faber Polynomials -- 2 Lattice Path Enumeration and Umbral Calculus -- 3 The Enumeration of Lattice Paths With Respect to Their Number of Turns -- 4 Lattice Path Counting Simple Random Walk Statistics, and Randomizations: An Analytic Approach -- 5 Combinatorial Identities: A Generalization of Dougallโs Identity -- 6 A Comparison of Two Methods for Random Labelling of Balls by Vectors of Integers -- IIโApplications to Probability Problems -- 7 On the Ballot Theorems -- 8 Some Results for Two-Dimensional Random Walk -- 9 Random Walks on SL(2, F2) and Jacobi Symbols of Quadratic Residues -- 10 Rank Order Statistics Related to a Generalized Random Walk -- 11 On a Subset Sum Algorithm and Its Probabilistic and Other Applications -- 12 I and J Polynomials in a Potpourri of Probability Problems -- 13 Stirling Numbers and Records -- IIIโApplications to Urn Models -- 14 Advances in Urn Models During The Past Two Decades -- 15 A Unified Derivation of Occupancy and Sequential Occupancy Distributions -- 16 Moments Binomial Moments and Combinatorics -- IVโApplications to Queueing Theory -- 17 Nonintersecting Paths and Applications to Queueing Theory -- 18 Transient Busy Period Analysis of Initially Non-Empty M/G/l QueuesโLattice Path Approach -- 19 Single Server Queueing System with Poisson Input: A Review of Some Recent Developments -- 20 Recent Advances in the Analysis of Polling Systems -- VโApplications to Waiting Time Problems -- 21 Waiting Times and Number of Appearances of Events in a Sequence of Discrete Random Variables -- 22 On Sooner and Later Problems Between Success and Failure Runs -- 23 Distributions of Numbers of Success-Runs Until the First Consecutive k Successes in Higher Order Markov Dependent Trials -- 24 On Multivariate Distributions of Various Orders Obtained by Waiting for the r-th Success Run of Length k in Trials With Multiple Outcomes -- 25 A Multivariate Negative Binomial Distribution of Order k Arising When Success Runs are Allowed to Overlap -- VIโApplications to Distribution Theory -- 26 The Joint Energy Distributions of the Bose-Einstein and of the Fermi-Dirac Particles -- 27 On Modified g-Bessel Functions and Some Statistical Applications -- 28 A g-Logarithmic Distribution -- 29 Bernoulli Learning Models: Uppuluri Numbers -- VIIโApplications to Nonparametric Statistics -- 30 Linear Nonparametric Tests Against Restricted Alternatives: The Simple-Tree Order and The Simple Order -- 31 Nonparametric Estimation of the Ratio of Variance Components -- 32 Limit Theorems for M-Processes Via Rank Statistics Processes -- Author Index