Minimum Variance Unbiased Estimation in the Gompertz Distribution under Progressive Type II Censored Data with Binomial Removals

Table 2

The UMVU estimates of different parametric functions of 𝜃 based on data given in Table 1.

Serial Number	Parametric function	UMVU estimate
1	exp[−𝜃]	𝐻1,18=0.999914
2	Variance of 𝐻1,18	Var[𝐻1,18]=4.38788𝐸−10
3	exp[𝜃]	𝐻−1,18=1.000086378
4	Variance of 𝐻−1,18	Var[𝐻−1,18]=4.38932𝐸−10
5	1/𝜃	𝐺1,18=10934.27603
6	Variance of 𝐺1,18	Var[𝐺1,18]=6292546.967
7	𝜃	𝐺−1,18=8.63747𝐸−5
8	Variance of 𝐺−1,18	Var[𝐺−1,18]=4.38858𝐸−10
9	Hazard function at 𝑥=95.	ℎ(𝑥)=0.010469216
10	Density at 𝑥=95	𝜙95,18=0.008617136
11	Variance of 𝜙95,18	Var[𝜙95,18]=2.80714𝐸−6
12	Reliability at 𝑥=95	𝑅(𝑥)=0.81314
13	Variance of 𝑅(𝑥) at 𝑥=95	Var[𝑅(𝑥)]=0.001683
14	c.d.f at 𝑥=95	𝐹(𝑥)=0.186862