خلاصه ماشینی:
"com Hyperbolic Cosine–Exponentiated Exponential Lifetime Distribution and its Application in Reliability Omid Kharazmi*a a Department of Statistics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran Abstract Recently, Kharazmi and Saadatinik (2016) introduced a new family of lifetime distributions called hyperbolic cosine – F (HCF) distribution.
Estimating parameters of HCEE distribution are obtained by eight estimation methods: maximum likelihood, Bayesian, maximum product of spacings, parametric bootstrap, non-parametric bootstrap, percentile, least-squares and weighted least-squares.
The hyperbolic cosine function has similar name to the trigonometric functions, but it is defined in terms of the exponential function as follows: This function is even and has a Taylor series expression with only even exponents for / / (1) Throughout the present paper, we use series expression (1) to obtain statistical and reliability properties of the HSF family of distributions.
Second, we fit the HCEE model to this data by ML method and compare the results with the gamma, Weibull and generalized exponential (GE) with respective densities / / / Yarn data The data set relates to the time-to-failure of apolyester/viscose yarn in a textile experiment for testing the tensile fatigue characteristics of yarn.
Table 1 shows the estimation of parameters of HCEE distribution and corresponding log-likelihood function for the yarn data that obtained by eight estimation methods: maximum likelihood, Bayesian, maximum product of spacings, parametric bootstrap, non-parametric bootstrap, percentile, least-squares and weighted least-squares.
رجوع شود به تصویر صفحه Here, we fit the HCEE distribution to the yarn data and compare it with the gamma, generalized exponential and Weibull densities."