In the present paper some more general limit theorems are proved, where $\xi _ {n} (t)$ might be any random processes. The Indian Statistical Institute (ISI), is a unique P. C. Mahalanobish ...

Stark and Woods, Probability, Random Processes, and Estimation Theory for Engineers , Prentice Hall, 2 nd edition (1994) Wozencraft and Jacobs, Principles of Communication Engineering , Wiley ...

We study the asymptotic behaviour of the probability of non-extinction of a critical multi-type Galton–Watson process in i.i.d. random environments by using limit theorems for products of positive ...

ISBN 0073660116 A. Leon-Garcia, Probability, statistics, and random processes for electrical engineering, 3rd Edition, Pearson/Prentice Hall, 2008. ISBN 0131471228 R. D. Yates and D. J. Goodman, ...

Gaussian processes offer a versatile framework to model and analyse continuous random phenomena, making them particularly useful in quantifying the probability of ruin in financial and insurance ...

Stochastic differential equations (SDEs) and random processes form a central framework for modelling systems influenced by inherent uncertainties.

It includes discrete and continuous random variables, their probability distributions and analytical and statistical methods for determining the mean, variance and higher order moments that ...

Collecting data; summarizing and displaying data; drawing conclusions and making decisions using data; probability background, confidence intervals, hypotheses tests, regression, correlation. Not open ...

Outline This project aims at developing mathematical statistics and probability theory to provide methodologies for modeling and analysis of complex random systems. Statistical methods enable analysis ...

Statistics is the science of analyzing data; the use of statistics is ubiquitous in science, engineering, medicine and epidemiology, marketing, and many other application areas. Probability theory ...