The main theme of this thesis is oriented about two objectives the first one is to study the fundamental concepts of the differentialalgebraic equations and the fractional calculus which are needed for finding
The main objectives of this thesis may be oriented towards three directions.The first objective is to study in details the theory of stochastic calculus and stochastic ordinary differential equations using the Itô and
In this thesis, we consider the extreme value distn. of two parameters for the reason of its appearance in many statistical fields of applications. Mathematical and statistical properties of the distn. such as moments and higher moments are collected and unified and the properties of reliability and hazard functions of the distn.are illustrated.The chi-square goodness - of - fit is used to test whether the generated samples from the standardized extreme value distn. by Monte Carlo simulation are acceptable for use.These samples are used to estimate the distn.
