A two parameter generalization of the Inverse Rayleigh distribution capable of modeling bathtub hazard rate function is defined and studied with application to reliability data. A comprehensive account of the mathematical properties of the modified Inverse Rayleigh distribution including estimation and simulation with its reliability behavior are discussed. An application is presented to illust...

A new four-parameter model called the Marshall-Olkin extended generalized Gompertz distribution is introduced. Its hazard rate function can be constant, increasing, decreasing, upside-down bathtub or bathtub-shaped depending on its parameters. Some mathematical properties of this such as expansion for density function, moments, moment generating quantile mean deviations, residual life, order st...

It is observed that, for some of the data in engineering and medical fields, hazard rates increase to a high peak at beginning quickly decrease low level. In context survival analysis, such rate called upside-down bathtub rate. this paper, we investigated properties model named exponentiated exponential-Pareto distribution. The was recently proposed applied insurance data. We demonstrated that ...

We introduce a four-parameter model called the Weibull Nadarajah-Haghighi distribution. It is obtained by inserting distribution in Weibull-G family. The proposed can produce constant, increasing, decreasing, bathtub, and upside down-bathtub hazard rate shapes, which are most important lifetime analysis. explore some structural properties, including quantile function, ordinary incomplete moment...

BACKGROUND Bathing is a deeply ingrained custom among Japanese; however, data on the incidence rate of symptoms and accidents during bathing have not yet been reported for the Japanese general public. METHODS We conducted a population-based cross-sectional study of 617 Japanese adults who attended a specialized health checkup. Participants completed a self-administered questionnaire to assess...

OBJECTIVE The objective of this study was to quantify and characterize the role of bath seats in infant mortality from bathtub drowning. METHOD Risk analysis of bathtub drowning deaths for infants aged 6-10 months was performed using data available from the US Consumer Product Safety Commission (CPSC), birth and mortality data from the National Center for Health Statistics (NCHS) for US resid...

The exponentiated -parent distribution is a generalization of the standard parent distribution. [7] introduced a simple generalization to weibull distribution namely the exponentiated weibull distribution. The new distribution was applied to analyzing bathtub failure rates lifetime data. In this paper, we consider the standard exponentiated inverted weibull distribution (EIW) that generalizes t...

Axisymmetric vortices with high level of axial vorticity are considered. Consistency conditions result in so-called compensating regime of the vortical flow. The power laws associated with this regime are applied to a series of vortices of different scales: bathtub vortex, tornadoes and tropical cyclones. Key–Words: vortical flows, bathtub vortex, tornado, tropical cyclone