Fig 1.
Cumulative distribution function (cdf) of Half logistic-truncated exponential distribution.
Fig 2.
Probability density function (pdf) of Half logistic-truncated exponential distribution.
Fig 3.
Hazard rate of Half logistic-truncated exponential distribution.
Table 1.
MLE, average estimated values, corresponding SEs (given in parentheses) Bias, MSE, MRE and 99% coverage probabilities of model parameters for HL-TEXPD.
Table 2.
Descriptive statistics of life of fatigue fracture data.
Table 3.
Log-likelihood function () evaluated at the MLEs of model parameters, the corresponding SEs (given in parentheses) and the statistics AIC and BIC.
Fig 4.
Plots of the (i) histogram and estimated PDF, (ii) quantile-quantile (Q-Q) (iii) empirical and estimated CDF, (iv) probability-probability (P-P) plot is a graph of the empirical CDF values plotted against the theoretical CDF values of Half Logistic-TEXPD model for first data.
Table 4.
Descriptive statistics of survival time of infected guinea pigs data.
Table 5.
Log-likelihood function evaluated at the MLEs of model parameters, the corresponding SEs (given in parentheses) and the statistics AIC and BIC.
Fig 5.
Plots of the (i) histogram and estimated PDF, (ii) quantile-quantile (Q-Q) (iii) empirical and estimated CDF, (iv) probability-probability (P-P) plot is a graph of the empirical CDF values plotted against the theoretical CDF values of Half Logistic-TEXPD model for second data.
Table 6.
Descriptive statistics for ball bearings data.
Table 7.
Log-likelihood function evaluated at the MLEs of model parameters, the corresponding SEs (given in parentheses) and the statistics AIC and BIC.
Fig 6.
Plots of the (i) histogram and estimated PDF, (ii) quantile-quantile (Q-Q) (iii) empirical and estimated CDF, (iv) probability-probability (P-P) plot is a graph of the empirical CDF values plotted against the theoretical CDF values of Half Logistic-TEXPD model for third data.
Fig 7.
Total Time on Test (TTT) Plot for first data set (The life of fatigue fracture of Kevlar 373/epoxy at fixed pressure until all had failed).
Fig 8.
Total Time on Test (TTT) Plot for second data set (The survival time of seventy-two infected guinea pigs virulent with tubercle bacilli).
Fig 9.
Total Time on Test (TTT) Plot for second data set (The performance of ball bearings and recorded the number of revolutions (in millions) before failure in life test).