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
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
收藏
页码:523 / 541
页数:19
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