Recently, the notation of a negation probability distribution was introduced. The need for such arises when knowledge-based system can use terms like NOT HIGH, where HIGH is represented by (pd). For example, PROFIT or PRICE be considered. application this in Dempster–Shafer theory considered many works. Although several negations distributions have been proposed, it not clear how to construct o...

The object of this paper is to introduce a new weighted information generating function whose derivative at point 1 gives some well known measures of information. Some properties and particular cases of the proposed generating function have also been studied.

We consider an M/G/1 queue with regular and optional phase vacation and withstate dependent arrival rate. The vacation policy is after completion of service if there are no customers in the system, the server takes vacation consisting of K -phases, each phase is generally distributed. Here the first phase is compulsory where as the other phases are optional. For this model the supplementary var...

The class of fractional linear generating functions, one of the few known classes of probability generating functions whose iterates can be explicitly stated, is examined. The method of bounding a probability generating function g (satisfying g"(1)< oo) by two fractional linear generating functions is used to derive bounds for the extinction time distribution of the Galton-Watson branching proc...

This investigation deals with single server queueing system wherein the arrival of the units follow Poisson process with varying arrival rates in different states and the service time of the units is arbitrary (general) distributed. The server may take a vacation of a fixed duration or may continue to be available in the system for next service. Using the probability argument, we construct the ...