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Extended inverse Lindley distribution: properties and application.

Alkarni SH - Springerplus (2015)

Bottom Line: Maximum likelihood estimation of the parameters and their estimated asymptotic distribution and confidence intervals are derived.Rényi entropy as a measure of the uncertainty in the model is derived.The application of the model to a real data set i.e., the flood levels for the Susquehanna river at Harrisburg, Pennsylvania, over 20 four-year periods from 1890 to 1969 is compared to the fit attained by some other well-known existing distributions.

View Article: PubMed Central - PubMed

Affiliation: Department of Quantitative Analysis, King Saud University, Riyadh, Saudi Arabia.

ABSTRACT
In this paper, we introduce an extension of the inverse Lindley distribution, which offers more flexibility in modeling upside-down bathtub lifetime data. Some statistical properties of the proposed distribution are explicitly derived. These include density and hazard rate functions with their behavior, moments, moment generating function, skewness, kurtosis measures, and quantile function. Maximum likelihood estimation of the parameters and their estimated asymptotic distribution and confidence intervals are derived. Rényi entropy as a measure of the uncertainty in the model is derived. The application of the model to a real data set i.e., the flood levels for the Susquehanna river at Harrisburg, Pennsylvania, over 20 four-year periods from 1890 to 1969 is compared to the fit attained by some other well-known existing distributions.

No MeSH data available.


Plots of the hazard rate function of the EIL distribution for different values of , and
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Fig2: Plots of the hazard rate function of the EIL distribution for different values of , and

Mentions: The behavior of in (6) of the for different values of the parameters , and are showed graphically in Fig. 2.Fig. 2


Extended inverse Lindley distribution: properties and application.

Alkarni SH - Springerplus (2015)

Plots of the hazard rate function of the EIL distribution for different values of , and
© Copyright Policy - OpenAccess
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4641148&req=5

Fig2: Plots of the hazard rate function of the EIL distribution for different values of , and
Mentions: The behavior of in (6) of the for different values of the parameters , and are showed graphically in Fig. 2.Fig. 2

Bottom Line: Maximum likelihood estimation of the parameters and their estimated asymptotic distribution and confidence intervals are derived.Rényi entropy as a measure of the uncertainty in the model is derived.The application of the model to a real data set i.e., the flood levels for the Susquehanna river at Harrisburg, Pennsylvania, over 20 four-year periods from 1890 to 1969 is compared to the fit attained by some other well-known existing distributions.

View Article: PubMed Central - PubMed

Affiliation: Department of Quantitative Analysis, King Saud University, Riyadh, Saudi Arabia.

ABSTRACT
In this paper, we introduce an extension of the inverse Lindley distribution, which offers more flexibility in modeling upside-down bathtub lifetime data. Some statistical properties of the proposed distribution are explicitly derived. These include density and hazard rate functions with their behavior, moments, moment generating function, skewness, kurtosis measures, and quantile function. Maximum likelihood estimation of the parameters and their estimated asymptotic distribution and confidence intervals are derived. Rényi entropy as a measure of the uncertainty in the model is derived. The application of the model to a real data set i.e., the flood levels for the Susquehanna river at Harrisburg, Pennsylvania, over 20 four-year periods from 1890 to 1969 is compared to the fit attained by some other well-known existing distributions.

No MeSH data available.