UNIFIED LATTICE PATH APPROACH TO DISTRIBUTIONS RELATED TO MARKOV DEPENDENT TRIALS

被引：0

作者：

Goyal, Babita ^{[1
]}

Sen, Kanwar ^{[1
]}

机构：

[1] Univ Delhi, Ramjas Coll, Dept Stat, Delhi 110007, India

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2018年 / 55卷 / 04期

关键词：

lattice paths; probability distributions; horizontal steps; vertical steps; right turn; left turn; duration of the game; Markov dependent trials; SUCCESSES; NUMBER;

D O I：

10.1556/012.2018.55.4.1409

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For fixed integers n((sic) 0) and mu, the number of ways in which a moving particle taking a horizontal step with probability p and a vertical step with probability q, touches the line Y = n + mu X for the first time, have been counted. The concept has been applied to obtain various probability distributions in independent and Markov dependent trials.

引用

页码：523 / 541

页数：19

共 50 条

[1] THE ASYMPTOTIC DISTRIBUTIONS OF RUN OCCURRENCES FOR MARKOV-DEPENDENT TRIALS
SCHWAGER, SJ
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1984, 17 (01) : 22 - 23
[2] Runs, scans and urn model distributions: A unified Markov chain approach
Koutras, MV
Alexandrou, VA
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1995, 47 (04) : 743 - 766
[3] Distributions of numbers of success runs of fixed length in Markov dependent trials
Antzoulakos, DL
Chadjiconstantinidis, S
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 2001, 53 (03) : 599 - 619
[4] Distributions of Numbers of Success Runs of Fixed Length in Markov Dependent Trials
Demetrios L. Antzoulakos
Stathis Chadjiconstantinidis
Annals of the Institute of Statistical Mathematics, 2001, 53 : 599 - 619
[5] A NUMERICAL ALGORITHM FOR DISTRIBUTIONS OF SOONEST WAITING TIME PROBLEMS IN MARKOV DEPENDENT TRIALS
Chaderjian, Bruce
Ebneshahrashoob, Morteza
Gao, Tangan
ADVANCES AND APPLICATIONS IN STATISTICS, 2009, 13 (01) : 95 - 109
[6] Joint distributions of numbers of runs of specified lengths in a sequence of Markov dependent multistate trials
Inoue, Kiyoshi
Aki, Sigeo
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 2007, 59 (03) : 577 - 595
[7] Distributions of statistics describing concentration of runs in non homogeneous Markov-dependent trials
Arapis, Anastasios N.
Makri, Frosso S.
Psillakis, Zaharias M.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2018, 47 (09) : 2238 - 2250
[8] On ordered series and later waiting time distributions in a sequence of Markov dependent multistate trials
Fu, JC
Chang, YM
JOURNAL OF APPLIED PROBABILITY, 2003, 40 (03) : 623 - 642
[9] Joint Distributions of Numbers of Runs of Specified Lengths in a Sequence of Markov Dependent Multistate Trials
Kiyoshi Inoue
Sigeo Aki
Annals of the Institute of Statistical Mathematics, 2007, 59 : 577 - 595
[10] A UNIFIED APPROACH TO PATH PROBLEMS
TARJAN, RE
JOURNAL OF THE ACM, 1981, 28 (03) : 577 - 593

← 1 2 3 4 5 →