M.Sc.

Optimality Conditions for Fuzzy Order Variational Problems

The main objectives of this thesis is oriented toward three directions: The first objective is to study fuzzy set theory with some basic properties related to the theory of variational problems.The second objective is to study variational problems with fuzzy functions, fuzzy condition and fuzzy boundaries by using different approaches for defuzzification, such as centroid method, α-cut method, centroid point and

English

Approximation to the Mean and Variance of the Estimators Related to Gamma Distribution

 In this thesis, we study the gamma distribution because it has many applications in life – testing, survival and reliability investigation that appear in medical studies of chronic diseases and industrial life – testing. Approximation to the mean and variance of moments method estimators is made theoretically by using Taylor series expansion approximated up to second partial derivatives. The maximum likelihood estimators are derived and compared with several estimators that proposed in the literature.

English