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

[31] A unified approach to the study of tail probabilities of compound distributions
Cai, J
Garrido, J
JOURNAL OF APPLIED PROBABILITY, 1999, 36 (04) : 1058 - 1073
[32] A Unified Approach for Developing Laplace-Type Distributions
Aly E.-E.
Journal of the Indian Society for Probability and Statistics, 2018, 19 (2) : 245 - 269
[33] A unified approach to Stein?s method for stable distributions
Upadhye, Neelesh S.
Barman, Kalyan
PROBABILITY SURVEYS, 2022, 19 : 533 - 589
[34] A UNIFIED APPROACH FOR FINDING THE RELATIONSHIP BETWEEN THE CONTINUOUS-TIME AND THE EMBEDDED MARKOV LIMITING DISTRIBUTIONS FOR A CLASS OF QUEUING-PROBLEMS
JAIN, JL
SETH, K
ADVANCES IN APPLIED PROBABILITY, 1980, 12 (02) : 309 - 309
[35] Reaction path Hamiltonian and the unified reaction valley approach
Kraka, Elfi
WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE, 2011, 1 (04) : 531 - 556
[36] A unified MPC design approach for AGV path following
Kokot, Mirko
Miklic, Damjan
Petrovic, Tamara
2022 IEEE/RSJ INTERNATIONAL CONFERENCE ON INTELLIGENT ROBOTS AND SYSTEMS (IROS), 2022, : 4789 - 4796
[37] A unified approach to time-aggregated Markov decision processes
Li, Yanjie
Wu, Xinyu
AUTOMATICA, 2016, 67 : 77 - 84
[38] A Unified Approach for Hitting Time of Jump Markov Type Processes
Limnios, Nikolaos
Wu, Bei
METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2024, 26 (03)
[39] A unified approach to Markov decision problems and performance sensitivity analysis
Cao, XR
AUTOMATICA, 2000, 36 (05) : 771 - 774
[40] A path integral approach to lattice point problems
Chamizo, F
Córdoba, A
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2002, 81 (10): : 957 - 966

← 1 2 3 4 5 →