Journal of Probability and Statistics / 2020 / Article / Tab 1

Research Article

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

Table 1

MSEs(biases) for and .

Scheme

0.10.520200.052 (0.098)0.032 (0.029)0.061 (−0.035)0.033 (−0.020)0.023 (−0.003)0.060 (0.059)
18I0.104 (0.138)0.056 (0.062)0.129 (−0.033)0.040 (−0.025)0.024 (−0.020)0.079 (0.064)
II0.061 (0.113)0.037 (0.039)0.076 (−0.033)0.034 (−0.027)0.025 (−0.010)0.070 (0.060)
III0.082 (0.125)0.047 (0.052)0.100 (−0.030)0.038 (−0.026)0.024 (−0.016)0.074 (0.061)
IV0.066 (0.119)0.040 (0.043)0.084 (−0.035)0.033 (−0.026)0.024 (−0.011)0.069 (0.060)
14I0.380 (0.274)0.179 (0.145)0.529 (−0.070)0.062 (−0.036)0.031 (−0.040)0.150 (0.096)
II0.095 (0.150)0.054 (0.054)0.109 (−0.027)0.046 (−0.034)0.032 (−0.015)0.099 (0.068)
III0.223 (0.214)0.113 (0.103)0.268 (−0.036)0.057 (−0.034)0.031 (−0.032)0.120 (0.081)
IV0.123 (0.173)0.074 (0.070)0.163 (−0.042)0.042 (−0.030)0.030 (−0.019)0.095 (0.070)

30300.029 (0.068)0.023 (0.027)0.031 (−0.016)0.021 (−0.020)0.018 (−0.008)0.029 (0.029)
26I0.073 (0.100)0.045 (0.056)0.081 (−0.011)0.029 (−0.018)0.019 (−0.019)0.041 (0.036)
II0.035 (0.077)0.025 (0.029)0.037 (−0.017)0.024 (−0.020)0.020 (−0.007)0.035 (0.034)
III0.054 (0.089)0.035 (0.043)0.058 (−0.011)0.027 (−0.018)0.020 (−0.015)0.039 (0.034)
IV0.039 (0.083)0.028 (0.033)0.042 (−0.019)0.023 (−0.019)0.019 (−0.009)0.034 (0.033)
18I0.394 (0.246)0.181 (0.158)0.555 (−0.077)0.048 (−0.025)0.024 (−0.040)0.103 (0.078)
II0.060 (0.111)0.037 (0.039)0.073 (−0.027)0.034 (−0.025)0.024 (−0.009)0.066 (0.055)
III0.202 (0.181)0.100 (0.103)0.266 (−0.041)0.044 (−0.024)0.023 (−0.030)0.088 (0.067)
IV0.083 (0.134)0.054 (0.057)0.119 (−0.040)0.029 (−0.020)0.022 (−0.014)0.062 (0.054)

50500.013 (0.039)0.012 (0.008)0.017 (−0.016)0.012 (−0.012)0.012 (0.001)0.017 (0.020)
42I0.044 (0.066)0.031 (0.042)0.053 (−0.002)0.018 (−0.015)0.013 (−0.017)0.023 (0.017)
II0.018 (0.049)0.016 (0.017)0.021 (−0.012)0.015 (−0.016)0.014 (−0.005)0.019 (0.018)
III0.031 (0.058)0.024 (0.030)0.036 (−0.003)0.017 (−0.015)0.013 (−0.012)0.022 (0.016)
IV0.024 (0.058)0.023 (0.029)0.030 (−0.015)0.012 (−0.011)0.012 (−0.009)0.016 (0.014)
26I0.355 (0.201)0.180 (0.167)0.435 (−0.034)0.035 (−0.019)0.019 (−0.038)0.051 (0.043)
II0.035 (0.077)0.025 (0.029)0.037 (−0.015)0.024 (−0.019)0.020 (−0.007)0.035 (0.033)
III0.164 (0.140)0.090 (0.102)0.194 (−0.014)0.032 (−0.017)0.018 (−0.030)0.045 (0.038)
IV0.049 (0.093)0.039 (0.046)0.059 (−0.022)0.020 (−0.013)0.017 (−0.012)0.029 (0.028)

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