Different Approaches to Estimation of the Gompertz Distribution under the Progressive Type-II Censoring Scheme

Table 1

MSEs(biases) for and .

				Scheme
0.1	0.5	20	20		0.052 (0.098)	0.032 (0.029)	0.061 (−0.035)	0.033 (−0.020)	0.023 (−0.003)	0.060 (0.059)
			18	I	0.104 (0.138)	0.056 (0.062)	0.129 (−0.033)	0.040 (−0.025)	0.024 (−0.020)	0.079 (0.064)
				II	0.061 (0.113)	0.037 (0.039)	0.076 (−0.033)	0.034 (−0.027)	0.025 (−0.010)	0.070 (0.060)
				III	0.082 (0.125)	0.047 (0.052)	0.100 (−0.030)	0.038 (−0.026)	0.024 (−0.016)	0.074 (0.061)
				IV	0.066 (0.119)	0.040 (0.043)	0.084 (−0.035)	0.033 (−0.026)	0.024 (−0.011)	0.069 (0.060)
			14	I	0.380 (0.274)	0.179 (0.145)	0.529 (−0.070)	0.062 (−0.036)	0.031 (−0.040)	0.150 (0.096)
				II	0.095 (0.150)	0.054 (0.054)	0.109 (−0.027)	0.046 (−0.034)	0.032 (−0.015)	0.099 (0.068)
				III	0.223 (0.214)	0.113 (0.103)	0.268 (−0.036)	0.057 (−0.034)	0.031 (−0.032)	0.120 (0.081)
				IV	0.123 (0.173)	0.074 (0.070)	0.163 (−0.042)	0.042 (−0.030)	0.030 (−0.019)	0.095 (0.070)
		30	30		0.029 (0.068)	0.023 (0.027)	0.031 (−0.016)	0.021 (−0.020)	0.018 (−0.008)	0.029 (0.029)
			26	I	0.073 (0.100)	0.045 (0.056)	0.081 (−0.011)	0.029 (−0.018)	0.019 (−0.019)	0.041 (0.036)
				II	0.035 (0.077)	0.025 (0.029)	0.037 (−0.017)	0.024 (−0.020)	0.020 (−0.007)	0.035 (0.034)
				III	0.054 (0.089)	0.035 (0.043)	0.058 (−0.011)	0.027 (−0.018)	0.020 (−0.015)	0.039 (0.034)
				IV	0.039 (0.083)	0.028 (0.033)	0.042 (−0.019)	0.023 (−0.019)	0.019 (−0.009)	0.034 (0.033)
			18	I	0.394 (0.246)	0.181 (0.158)	0.555 (−0.077)	0.048 (−0.025)	0.024 (−0.040)	0.103 (0.078)
				II	0.060 (0.111)	0.037 (0.039)	0.073 (−0.027)	0.034 (−0.025)	0.024 (−0.009)	0.066 (0.055)
				III	0.202 (0.181)	0.100 (0.103)	0.266 (−0.041)	0.044 (−0.024)	0.023 (−0.030)	0.088 (0.067)
				IV	0.083 (0.134)	0.054 (0.057)	0.119 (−0.040)	0.029 (−0.020)	0.022 (−0.014)	0.062 (0.054)
		50	50		0.013 (0.039)	0.012 (0.008)	0.017 (−0.016)	0.012 (−0.012)	0.012 (0.001)	0.017 (0.020)
			42	I	0.044 (0.066)	0.031 (0.042)	0.053 (−0.002)	0.018 (−0.015)	0.013 (−0.017)	0.023 (0.017)
				II	0.018 (0.049)	0.016 (0.017)	0.021 (−0.012)	0.015 (−0.016)	0.014 (−0.005)	0.019 (0.018)
				III	0.031 (0.058)	0.024 (0.030)	0.036 (−0.003)	0.017 (−0.015)	0.013 (−0.012)	0.022 (0.016)
				IV	0.024 (0.058)	0.023 (0.029)	0.030 (−0.015)	0.012 (−0.011)	0.012 (−0.009)	0.016 (0.014)
			26	I	0.355 (0.201)	0.180 (0.167)	0.435 (−0.034)	0.035 (−0.019)	0.019 (−0.038)	0.051 (0.043)
				II	0.035 (0.077)	0.025 (0.029)	0.037 (−0.015)	0.024 (−0.019)	0.020 (−0.007)	0.035 (0.033)
				III	0.164 (0.140)	0.090 (0.102)	0.194 (−0.014)	0.032 (−0.017)	0.018 (−0.030)	0.045 (0.038)
				IV	0.049 (0.093)	0.039 (0.046)	0.059 (−0.022)	0.020 (−0.013)	0.017 (−0.012)	0.029 (0.028)