Towards adding probabilities and correlations to interval computations

Adding New Mathematical Functions and Statistical‎ Distributions in WinBUGS

‎WinBUGS is one of the usual softwares in computational Bayesian statistics‎, ‎which is used to fit Baysian models easily‎. ‎Although this software has usual mathematical functions and statistical distributions as built in functions‎, ‎sometimes it is necessary to include other functions and distributions in computations which is done by some tricks and indirectly‎. ‎By using WinBUGS developmen...

Computational Complexity and Feasibility of Data Processing and Interval Computations, with Extension to Cases When We Have Partial Information about Probabilities

Exact maximum coverage probabilities of confidence intervals with increasing bounds for Poisson distribution mean

 ‎A Poisson distribution is well used as a standard model for analyzing count data‎. ‎So the Poisson distribution parameter estimation is widely applied in practice‎. ‎Providing accurate confidence intervals for the discrete distribution parameters is very difficult‎. ‎So far‎, ‎many asymptotic confidence intervals for the mean of Poisson distribution is provided‎. ‎It is known that the coverag...

Transient Solution of an M/M/1 Variant Working Vacation Queue with Balking

This paper presents the transient solution of a variant working vacation queue with balking. Customers arrive according to a Poisson process and decide to join the queue with probability $b$ or balk with $bar{b} = 1-b$. As soon as the system becomes empty, the server takes working vacation. The service times during regular busy period and working vacation period, and vacation times are assumed ...

FINITE POPULATION SINGLE SERVER BATCH SERVICE QUEUE WITH COMPULSORY SERVER VACATION

A single server finite population queueing model with compulsory server vacation and with fixed batch service has been considered. For this model the system steady state probabilities are obtained. Some performance measures are calculated and numerical examples are also given.