The lognormal distribution is commonly used to model certain types of data that arise in several fields of engineering as, for example, different types of lifetime data or coefficients of wear and friction. However, a generalized form of the lognormal distribution can be used to provide better fits for many types of experimental or observational data. In this paper, a Bayesian analysis of a gen...

R package flexmix provides flexible modelling of finite mixtures of regression models using the EM algorithm. Several new features of the software such as fixed and nested varying effects for mixtures of generalized linear models and multinomial regression for a-priori probabilities given concomitant variables are introduced. The use of the software in addition to model selection is demonstrate...

The method of LQ-moments (LQMOM) for estimating parameters and quantiles of the Generalized Logistic (GL) distribution are introduced. We explore and extend class of LQMOM with consideration combinations of p and α values in the range 0 and 0.5. The popular quantile estimator namely the weighted kernel quantile (WKQ) estimator is proposed to estimate the quantile function. A comparison of these...

In this paper, we mainly get three results. First, let , be distinct primes with ; we give a method to compute the linear complexity of Whiteman’s generalized cyclotomic sequences of period . Second, if , we compute the exact linear complexity of Whiteman’s generalized cyclotomic sequences. Third, if , , and we fix a common primitive root of both and , then , which is a subgroup of the multipli...

Objectives The objective of this study was to evaluate the association between weight-adjusted waist index (WWI) and prevalence kidney stones among adults in United States. Methods cross-sectional utilized data from National Health Nutrition Examination Survey (NHANES) spanning years 2007-2018. A total 31,344 participants were categorized into two groups: those with without. WWI determined by d...

A subgroup H of a group G is called conjugately dense in G if H has nonempty intersection with each class of conjugate elements in G. The knowledge of conjugately dense subgroups is related with an unsolved problem in group theory, as testified in the Kourovka Notebook. Here we point out the role of conjugately dense subgroups in generalized FC-groups, generalized soluble groups and generalized...

in this paper, the concept of fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) of an ordered group (resp. lattice-ordered group) is introduced and some properties, characterizations and related results are given. also, the fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) generated by a fuzzy subgroup (resp. fuzzy subsemigroup) is characterized. furthermore,...

This paper describes the use of the GAM procedure for fitting generalized additive models (Hastie and Tibshirani, 1990). PROC GAM, production in Release 8.2, provides an array of powerful tools for data analysis, incorporating nonparametric regression and smoothing techniques as well as generalized distributional modeling. Compared with other regression procedures such as PROC REG and PROC GLM,...

In this work, we present a generalized method for analysis of data series based on shape constraint spline fitting which constitutes the first step towards a statistically optimal method for qualitative analysis of trends. The presented method is based on a branch-and-bound (B&B) algorithm which is applied for globally optimal fitting of a spline function subject to shape constraints. More spec...