New Flexible Weibull Distribution

In the present paper, a new function is suggested to develop a new lifetime model. The new model is proposed by considering the linear scheme of the two logarithms of cumulative hazard functions. The proposed model is known as New Flexible Weibull distribution, capable of modeling data with increasing or bathtub shaped failure rates and offers a greater distribution flexibility. Therefore, it can be useful to use an alternative model to many other ageing distributions, where, data modeling with increasing or bathtub shaped failure rates are of interest. A brief mathematical explanation for the reliability function is provided. The parameters of the proposed model are estimated by using the maximum likelihood method. To claim the workability of the proposed model, two illustrated examples are provided.

[1]  Ammar M. Sarhan,et al.  Exponentiated modified Weibull extension distribution , 2013, Reliab. Eng. Syst. Saf..

[2]  Saad J. Almalki,et al.  A new modified Weibull distribution , 2013, Reliab. Eng. Syst. Saf..

[3]  Gauss M. Cordeiro,et al.  The beta modified Weibull distribution , 2010, Lifetime data analysis.

[4]  Hoang Pham,et al.  On Recent Generalizations of the Weibull Distribution , 2007, IEEE Transactions on Reliability.

[5]  M. H. Tahir,et al.  WEIBULL-LOMAX DISTRIBUTION: PROPERTIES AND APPLICATIONS , 2014 .

[6]  Saralees Nadarajah,et al.  The Kumaraswamy Weibull distribution with application to failure data , 2010, J. Frankl. Inst..

[7]  M. H. Tahir,et al.  The Gumbel-Lomax Distribution: Properties and Applications , 2016, J. Stat. Theory Appl..

[8]  D. A. Hansen,et al.  Statistical Modeling of Pitting Corrosion and Pipeline Reliability , 1990 .

[9]  Ammar M. Sarhan,et al.  Modified Weibull distribution. , 2009 .

[11]  Gauss M. Cordeiro,et al.  On the Additive Weibull Distribution , 2014 .

[12]  Min Xie,et al.  Reliability analysis using an additive Weibull model with bathtub-shaped failure rate function , 1996 .

[13]  Necip Doganaksoy,et al.  Weibull Models , 2004, Technometrics.

[14]  Gauss M. Cordeiro,et al.  Computational Statistics and Data Analysis a Generalized Modified Weibull Distribution for Lifetime Modeling , 2022 .

[15]  Anwar Khalil Sheikh,et al.  A probabilistic characterization of adhesive wear in metals , 1997 .

[16]  J. Almeida,et al.  Application of Weilbull statistics to the failure of coatings , 1999 .

[17]  Zubair Ahmad,et al.  Generalized Flexible Weibull Extension Distribution , 2017 .

[18]  Hans Conrad,et al.  Statistical analysis of the Hertzian fracture of pyrex glass using the Weibull distribution function , 1980 .

[19]  M. Gurvich,et al.  A new statistical distribution for characterizing the random strength of brittle materials , 1997 .

[20]  Vahid Nekoukhou,et al.  The Beta-Weibull Distribution on the Lattice of Integers , 2016 .