Table 5 The point estimation results of \(R_{1}(t)\) from Set-1.

From: Analysis of Weibull time metrics using normal operating via partially accelerated tests with improved adaptive progressive censoring and its applications

\((n_1,n_2)\)

\((m_{1},m_{2})\)

Test

MLE

Bayes

Group-1

Group-2

MPE

RMSE

MARB

MPE

RMSE

MARB

MPE

RMSE

MARB

\((T_{11},T_{12},T_{21},T_{22}) = ({0.5,\ 1.0,\ 0.4,\ 0.8})\)

(40,30)

(20, 10)

[1]

0.957

0.109

0.102

0.945

0.053

0.049

0.966

0.039

0.036

[2]

0.959

0.111

0.107

0.968

0.053

0.051

0.976

0.048

0.045

[3]

0.966

0.122

0.111

0.971

0.056

0.054

0.977

0.048

0.045

(30, 20)

[1]

0.956

0.062

0.061

0.970

0.041

0.039

0.967

0.023

0.019

[2]

0.963

0.073

0.072

0.971

0.050

0.044

0.965

0.030

0.026

[3]

0.954

0.067

0.067

0.969

0.046

0.044

0.966

0.027

0.025

(60,50)

(30, 20)

[1]

0.955

0.048

0.045

0.968

0.036

0.030

0.966

0.020

0.019

[2]

0.950

0.048

0.047

0.961

0.037

0.032

0.959

0.020

0.019

[3]

0.965

0.052

0.047

0.970

0.039

0.038

0.966

0.022

0.019

(40, 30)

[1]

0.946

0.038

0.036

0.973

0.026

0.022

0.988

0.015

0.012

[2]

0.966

0.046

0.044

0.978

0.033

0.028

0.990

0.020

0.018

[3]

0.944

0.046

0.040

0.978

0.031

0.026

0.992

0.016

0.013

(80,90)

(40, 50)

[1]

0.946

0.032

0.029

0.986

0.021

0.017

0.982

0.008

0.007

[2]

0.932

0.034

0.030

0.983

0.023

0.019

0.979

0.009

0.008

[3]

0.954

0.037

0.031

0.984

0.025

0.020

0.980

0.015

0.011

(60, 70)

[1]

0.934

0.024

0.019

0.956

0.012

0.008

0.940

0.007

0.006

[2]

0.941

0.031

0.029

0.962

0.013

0.011

0.946

0.008

0.007

[3]

0.932

0.025

0.020

0.956

0.013

0.010

0.940

0.007

0.006

\((T_{11},T_{12},T_{21},T_{22}) = ({1.0,\ 1.5,\ 0.8,\ 1.2})\)

(40,30)

(20, 10)

[1]

0.941

0.059

0.057

0.959

0.041

0.026

0.959

0.038

0.025

[2]

0.960

0.069

0.067

0.967

0.052

0.032

0.973

0.049

0.029

[3]

0.964

0.070

0.069

0.964

0.055

0.032

0.972

0.053

0.029

(30, 20)

[1]

0.939

0.050

0.046

0.941

0.036

0.020

0.936

0.031

0.018

[2]

0.954

0.056

0.055

0.956

0.039

0.025

0.953

0.034

0.022

[3]

0.946

0.053

0.052

0.954

0.038

0.022

0.951

0.032

0.019

(60,50)

(30, 20)

[1]

0.928

0.043

0.039

0.937

0.031

0.019

0.927

0.026

0.016

[2]

0.955

0.043

0.039

0.960

0.035

0.019

0.959

0.030

0.016

[3]

0.963

0.047

0.040

0.963

0.035

0.020

0.960

0.031

0.017

(40, 30)

[1]

0.938

0.033

0.031

0.951

0.023

0.010

0.947

0.020

0.007

[2]

0.970

0.038

0.034

0.978

0.030

0.019

0.990

0.025

0.015

[3]

0.963

0.035

0.031

0.975

0.027

0.012

0.988

0.023

0.008

(80,90)

(40, 50)

[1]

0.915

0.027

0.023

0.952

0.016

0.006

0.945

0.013

0.005

[2]

0.933

0.030

0.025

0.972

0.018

0.006

0.966

0.014

0.005

[3]

0.948

0.033

0.030

0.980

0.022

0.007

0.974

0.016

0.006

(60, 70)

[1]

0.916

0.019

0.015

0.936

0.008

0.005

0.918

0.007

0.004

[2]

0.930

0.026

0.022

0.949

0.010

0.005

0.930

0.008

0.005

[3]

0.916

0.026

0.020

0.932

0.010

0.005

0.915

0.007

0.004