 
Summary: Department of Mathematics & Statistics
GRADUATE STUDENT SEMINAR
Speaker: Supranee Lisawadi
Title: Parameter Estimation by the Method of Moments for the TwoSided Birnbaum
Saunders Distribution
Date: Thursday, November 29, 2007
Time: 2.30 pm
Location: College West 307.20
Abstract: Lifetime BirnbaumSaunders distribution is commonly used in practical ap
plications of the reliability theory for products with failure due to a development of fatigue
cracks. In this talk we consider a rectangular metal block which is fixed from two sides.
A periodic loading is applied to its middle part and this leads to a development of a fa
tigue crack. Assume that at the beginning the length of the crack was x0 D 0, and after
each loading we measure the crack length and obtain a sequence of nondecreasing num
ber x1, x2, ... . First, we are interested in the prediction of the crack length after nth
loading. After, we are interested in finding a distribution of the time when the blocks
breaks down. The method of moments is considered and the expected simulation results
for small, moderate and large sample sizes will be performed.
Supervisor: A Volodin
