A new useful three-parameter extension of the exponential distribution

Lemonte, Artur J.; Cordeiro, Gauss M.; Moreno-Arenas, Germán

doi:10.1080/02331888.2015.1095190

Cited by 13 publications

(8 citation statements)

References 47 publications

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“…In this section, we present an application based on the real data set to show the flexibility of the BXNH distribution. First, we compare BXNH with the RNH, the odd Lindley NH distribution (OLNH) (Yousof et al, 2017b), Proportional Reversed Hazard Rate (PRHRNH) (new), exponentiated Weibull NH (New), the Gamma-NH (GNH) (Ortega et al, 2015), Marshall-Olin NH (MONH) (Lemont et al, 2016), exponentiated NH (ENH) (Lemonte, 2013), beta-NH (BNH) (Dias et al, 2018), the standard NH distributions. Other useful extension of the NH model such as the Topps-Leone NH distribution (Yousof et al, 2017b) and extended exponentiated NH model (Alizadeh et al, 2018).…”

Section: Discussionmentioning

confidence: 99%

The Burr X Nadarajah Haghighi Distribution: Statistical Properties and Application to the Exceedances of Flood Peaks Data

Elsayed¹,

Yousof²

2019

Journal of Mathematics and Statistics

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In this study, new version from the Nadarajah Haghighi model is proposed. The introduced model has a failure rate function that may change in different directions. Statistical properties of the new density function are derived along with the analysis of variance, Skewness and Kurtosis. Parameter estimates are obtained by the method of maximum likelihood. Illustration of real data set was employed to measure flexibility of the new model. A simulation study was executed to test performance of the proposed version.

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Section: Discussionmentioning

confidence: 99%

The Burr X Nadarajah Haghighi Distribution: Statistical Properties and Application to the Exceedances of Flood Peaks Data

Elsayed¹,

Yousof²

2019

Journal of Mathematics and Statistics

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“…• The Marshall-Olkin Nadarajah-Haghighi (MONH) distribution (Lemonte et al, 2016) having pdf (for x > 0) given by…”

Section: Applicationsmentioning

confidence: 99%

Some Computational and Theoretical Aspects of the Exponentiated Generalized Nadarajah-Haghighi Distribution

VedoVatto,

Nascimento,

Filho

et al. 2016

Preprint

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Real data from applications in the survival context have required the use of more flexible models. A new four-parameter model called the Exponentiated Generalized Nadarajah-Haghighi (EGNH) distribution has been introduced in order to verify this requirement. We prove that its hazard rate function can be constant, decreasing, increasing, upside-down bathtub and bathtub-shape. Theoretical essays are provided about the EGNH shapes. It includes as special models the exponential, exponentiated exponential, Nadarajah-Haghighi's exponential and exponentiated Nadarajah-Haghighi distributions. We present a physical interpretation for the EGNH distribution and obtain some of its mathematical properties including shapes, moments, quantile, generating functions, mean deviations and Rényi entropy. We estimate its parameters by maximum likelihood, on which one of the estimates may be written in closed-form expression. This last result is assessed by means of a Monte Carlo simulation study. The usefulness of the introduced model is illustrated by means of two real data sets. We hope that the new distribution could be an alternative to other distributions available for modeling positive real data in many areas.

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“…respectively, where c is a shape parameter. Nadarajah and Haghighi [1] considered (2) as an alternative to the exponential (Exp), gamma (Gam), Weibull (W) and exponentiatedexponential (ExpExp) distributions. Several extensions of the NH model can be cited, such as the exponentiated NH (E-NH) model by Lemonte [2], the Gam NH (Gam-NH) and Poisson Gam NH (PGam-NH) by Ortega et al [3], transmuted NH (Tr-NH) by Ahmed et al [4], Kumaraswamy NH (Kuw-NH) by Lim [5], modified NH (Mo-NH) by El-Damcese…”

Section: Introductionmentioning

confidence: 99%

Modeling Extreme Values Utilizing an Asymmetric Probability Function

et al. 2021

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In this article, a new flexible probability density function with three parameters is proposed for modeling asymmetric data (positive and negative) with different types of kurtosis (mesokurtic, leptokurtic and platykurtic). Some of its statistical and reliability properties, including hazard rate function, moments, moment generating function, incomplete moments, mean deviations, moment of the residual life, moment of the reversed residual life, and order statistics are derived. Its hazard rate function can be either constant, increasing-constant, decreasing-constant, U shape, upside down shape or upside down-U shape. Seven classical estimation methods are considered to estimate the unknown model parameters. Monte Carlo simulation experiments are performed to compare the performance of the seven different estimation methods. Finally, a distinctive asymmetric real data application is analyzed for illustrating the flexibility of the new model.

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A new useful three-parameter extension of the exponential distribution

Cited by 13 publications

References 47 publications

The Burr X Nadarajah Haghighi Distribution: Statistical Properties and Application to the Exceedances of Flood Peaks Data

The Burr X Nadarajah Haghighi Distribution: Statistical Properties and Application to the Exceedances of Flood Peaks Data

Some Computational and Theoretical Aspects of the Exponentiated Generalized Nadarajah-Haghighi Distribution

Modeling Extreme Values Utilizing an Asymmetric Probability Function

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