Download Advances on Methodological and Applied Aspects of by N. Balakrishnan PDF

By N. Balakrishnan

ISBN-10: 1560329807

ISBN-13: 9781560329800

This can be considered one of volumes that units forth invited papers awarded on the overseas Indian Statistical organization convention. This quantity emphasizes developments in method and purposes of likelihood and records. The chapters, representing the information of leading edge researchers at the subject, current a number of assorted subspecialties, together with utilized likelihood, versions and purposes, estimation and trying out, powerful inference, regression and layout and pattern measurement method. The textual content additionally totally describes the purposes of those new rules to undefined, ecology, biology, future health, economics and administration. Researchers and graduate scholars in mathematical research, in addition to chance and facts pros in undefined, will study a lot from this quantity.

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2 MORAN’S MODEL FOR THE FINITE DAM Moran’s discrete time model for a dam (water reservoir) is the following. A dam of finite capacity is designed to meet the demand for electric power (expressed in terms of the volume of water required to produce it) or for water to be supplied to a city. The demand for water at time n is m (

From a practical point of view, it is significant to note that the limit properties of these statistics are obtained without the assumption on the existence of equilibrium. ’s without any restrictions on ␳. BASAWA In a subsequent paper, Basawa and Prabhu (1988) have provided a unified framework for the estimation problem described above where the observation period is (0, T], with a suitable stopping time T. Four different stopping rules are considered. It is shown that the limit distribution does not depend on the particular stopping rule if a random norming is used.

Moran formulated a simple discrete time model for the finite dam. Gani and the author extended this discrete time model to continuous time, where the input is described by a subordinator, the demand is at a unit rate and the release policy is the same as before. PRABHU in particular, to single server queues with Poisson arrivals and first come, first served discipline or priority discipline of the static or dynamic type. Because these models have several common features in regard to the underlying concepts and techniques of analysis, the author proposed the term stochastic storage processes to describe the processes that arise from the family of such models and presented a unified theory of these processes [see Prabhu (1998)].

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