What question did this study set out to answer?

To introduce a three-parameter modified-Lindley lifetime distribution combining modified Weibull and generalized gamma distributions, evaluating its theoretical properties, estimation accuracy, and real-world applicability.

March 8, 2022Communications Faculty Of Science University of Ankara Series A1Mathematics and StatisticsOpen Access

Modified-Lindley distribution and its applications to the real data

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Authors

ÇKÇoşkun KuşSelçuk University MKMustafa Ç. KorkmazMarquette University İKİsmail KınacıSelçuk University

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Implication

Statistical modeling study demonstrates robust parameter estimation and flexible data fitting, highlighting the modified-Lindley distribution's utility for complex lifetime data analysis.

Key Points

To introduce a three-parameter modified-Lindley lifetime distribution combining modified Weibull and generalized gamma distributions, evaluating its theoretical properties, estimation accuracy, and real-world applicability.
Formulated the distribution by mixing modified Weibull and generalized gamma distributions, developing point estimation techniques and interval estimation procedures based on asymptotic normality and likelihood ratio tests.
Conducted Monte Carlo simulations across various sample sizes to quantify bias and mean squared errors for point estimates, as well as coverage probabilities for confidence intervals.
Evaluated empirical model performance by fitting the proposed distribution to several real-world lifetime datasets.
Simulation analyses demonstrated decreasing bias and mean squared error for point parameter estimates as sample size increased.
Interval estimation via asymptotic normality and likelihood ratio approaches maintained targeted coverage probabilities across simulated sample sizes.
Goodness-of-fit evaluations on empirical datasets confirmed the distribution's capacity to model diverse real-world lifetime data patterns.

Cite This Study

Kuş et al. (2022) studied this question.

synapsesocial.com/papers/6a7c7d11169fe1af7cc2c508 https://doi.org/10.31801/cfsuasmas.744141

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Implication

Statistical modeling study demonstrates robust parameter estimation and flexible data fitting, highlighting the modified-Lindley distribution's utility for complex lifetime data analysis.

Modified-Lindley distribution and its applications to the real data

Discussion

Member takes

Implication

Key Points

Cite This Study

Modified-Lindley distribution and its applications to the real data

Discussion

Member takes

Implication

Key Points

Cite This Study

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