Far East Journal of Theoretical Statistics
Volume 4, Issue 2, Pages 339 - 346
(December 2000)
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EXPECTED
TYPE-II CENSORING TIME FOR 2-PARAMETER GOMPERTZ
DISTRIBUTION
Kuo-Ching Chiou (Taiwan, R. O. C.) and Lee-Ing Tong (Taiwan, R. O. C.)
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Abstract: In reliability analysis, considering the energy, money and
material resources, engineers always try to find an economic way to complete an
experiment in the shortest time. The purpose of this paper is to derive a ratio
formula based on expected type-II censoring time and expected complete sampling
time By using this ratio formula, we can
provide information about how much experiment time can be saved by using a
type-II censoring plan to replace a complete sampling plan. Up to the present,
the failure times follow Weibull distribution and Pareto distribution had been
proposed. In this paper, we propose the failure times to follow the 2-parameter
Gompertz distribution. The object of this paper is to allow the distributions of
the data have many choices by goodness of fit, in type-II censoring plan.
The engineers may use the proposed ratio formula to decide the censoring number,
experiment sample size, and the other relative parameters to save the total
experiment time. By simulation, we propose a procedure to get the percent of
saving experiment time. |
Keywords and phrases: type-II right-censoring time,
complete sample time, censoring number, Gompertz
distribution. |
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