Statistical inference for the two parameters Gompertz distribution and Extreme-value distribution under general type II progressive censoring

• Main Authors: Paei-Yi Liao, 廖佩怡
• Other Authors: 吳淑妃
• Format: Others
• Language: zh-TW
• Published: 2006
• Online Access: http://ndltd.ncl.edu.tw/handle/64939235606972315215

碩士 === 淡江大學 === 統計學系碩士班 === 94 === In many lifetimes analysis, we can’t collect the whole data due to the restriction of time, cost and material, censoring arises. There are several types of censoring schemes and the General Type II Progressive censoring scheme is one of those. The Gompertz distribution is one of the most important growth models. The Gompertz mortality function was established by Gompertz (1825) and it has many applications in, biological, medical, and actuarial studies.The Extreme-value distribution has been extensively used to model natural phenomena such as rainfall and floods, and also in modeling lifetimes. Therefore, the interval estimations of two parameters and the hypothesis testing under General Type II progressive censoring with random removals are proposed in this research. We proposed a set of new pivotal quantities with new distribution to be compared with some other pivotal quantities with F distribution in this paper.