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  • Author or Editor: Kanwar Sen x
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Pólya-Eggenberger F-S Models of order (k1, k2) are proposed and their probability functions obtained. The results are extended to obtain probability functions of Inverse Pólya-Eggenberger F-S models of order (k1, k2). The Binomial Distribution of order (k1, k2) (see[4]) and some new discrete distributions of order (k1, k2) are obtained as particular cases of these models.

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For fixed integers n(= 0) and μ, 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+μX for the first time, have been counted. The concept has been applied to obtain various probability distributions in independent and Markov dependent trials.

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