Two Dimension Marginal Distributions of Crossing Time and Renewal Numbers Related to Two-Stage Erlang Processes

被引:0
作者
Talpur, Mir Ghulam Hyder [1 ]
Zamir, Iffat [2 ]
Ali, M. Masoom [1 ]
机构
[1] Ball State Univ, Dept Math Sci, Muncie, IN 47306 USA
[2] Univ Sindh, Dept Stat, Jamshoro, Pakistan
关键词
Two dimensional marginal distribution; Erlang processes; Markov processes; renewal processes;
D O I
暂无
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
The two dimensional marginal transform, probability density and cumulative probability distribution functions for the random variables T-xi N (time taken by servers during vacations), xi(Nu) (number of vacations taken by servers) and eta(Nu) (number of customers or units arriving in the system) are derived by taking combinations of these random variables. One random variable is controlled at one time to determine the effect of the other two random variables simultaneously.
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页码:435 / 445
页数:11
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