Bathtub shape is one of the most important behaviors of the hazard rate function that is quite common in lifetime data analysis. Such shapes are actually the combination of three different shapes and, as such, there have been several proposals to model such behavior. One such proposal is to combine at most three different distributions, often the Weibull or some similar model, separately for de...

In this paper, a statistical distribution is presented that possesses the ability to describe failure rates exhibiting both monotonic and non-monotonic behaviors, bathtub curve, which represents performance of device in reliability engineering. The proposed based on sum hazard functions Chen Perks distribution, thus presenting Chen–Perks (CPD). Statistical properties CPD focused engineering are...

This paper presents a lifetime model with properties representing increasing, decreasing, and bathtub curve shapes for failure rates. The proposed was built based on the additive methodology, which Chen distribution used as base model, thus introducing Additive Distribution (AddC). An essential feature of AddC is this model’s excellent flexibility in describing rates non-monotonic behavior or s...

Due to the advance computer technology, use of probability distributions has been raised up solve real life problems. These applications are found in reliability engineering, sciences, economics, psychology, survival analysis, and some others. This study offers a new model called Marshall–Olkin Extended Gumbel Type-II (MOEGT-II) which can various shapes failure rate function. The proposed distr...

A 66-year-old man suffered the symptoms of severe lead poisoning for 2 years before diagnosis. The man had a blood lead level (PbB) on admission to hospital of 98 microg/dL. A detailed investigation revealed that the poisoning occurred as a result of drinking a homemade red wine, for which analyses showed a lead concentration up to 14 mg/L--70 times the Australian maximum limit for lead in wine...

In this paper, a new three-parameter extension of the generalized geometric distribution of [6] is introduced. The new discrete distribution belongs to the resilience parameter family and handles a decreasing, increasing, upside-down and bathtub-shaped hazard rate function. The new distributions can also be considered as discrete analogs of some recent continuous distributions belonging to the ...

A new lifetime distribution is proposed and its properties are studied. The density function has a heavy right skew tails with different shapes. failure rate can be “constant”, “bathtub (U)”, “increasing-constant”, “decreasing-constant”, “upside down” down-U”. Complexity of the most integrals related to statistical solved numerically analyzed. Simple type copula presented. Numerical calculation...

Drowning represents the third leading cause of fatal unintentional injury in infants (0-1 years). The aim of this study is to investigate correlates of unsupervised bathing. This cross-sectional study included 1,410 parents with an infant. Parents completed a questionnaire regarding supervision during bathing, socio-demographic factors, and Protection Motivation Theory-constructs. To determine ...

We propose a new four-parameter lifetime model with flexible hazard rate called the Burr XII Power Cauchy (BXII-PC) distribution. derive BXII-PC distribution via (ⅰ) T-X family technique and (ⅱ) nexus between exponential gamma variables. The proposed is as it has famous sub-models such XII-half Cauchy, Lomax-power Lomax-half Log-logistic-power log-logistic-half Cauchy. failure functi...