Transmuted Lindley-Geometric Distribution and its applications

A functional composition of the cumulative distribution function of one probability distribution with the inverse cumulative distribution function of another is called the transmutation map. In this article, we will use the quadratic rank transmutation map (QRTM) in order to generate a flexible family of probability distributions taking Lindley geometric distribution as the base value distribution by introducing a new parameter that would offer more distributional flexibility. It will be shown that the analytical results are applicable to model real world data.Comment: 20 pages, 6 figures. arXiv admin note: substantial text overlap with arXiv:1309.326

Another Generalized Transmuted Family of Distributions: Properties and Applications

We introduce and study general mathematical properties of a new generator of continuous distributions with two extra parameters called the Another generalized transmuted family of distributions. We present some special models. We investigate the asymptotes and shapes. The new density function can be expressed as a linear combination of exponentiated densities based on the same baseline distribution. We obtain explicit expressions for the ordinary and incomplete moments and generating functions, Bonferroni and Lorenz curves, asymptotic distribution of the extreme values, Shannon and Renyi entropies and order statistics, which hold for any baseline model, certain characterisations are presented. Further, we introduce a bivariate extensions of the new family. We discuss the dierent method of estimation of the model parameters and illustrate the potentiality of the family by means of two applications to real data. A brief simulation for evaluating Maximum likelihood estimator is done

Generalized Transmuted Family of Distributions: Properties and Applications

We introduce and study general mathematical properties of a new generator of continuous distributions with two extra parameters called the Generalized Transmuted Family of Distributions. We investigate the shapes and present some special models. The new density function can be expressed as a linear combination of exponentiated densities in terms of the same baseline distribution. We obtain explicit expressions for the ordinary and incomplete moments and generating function, Bonferroni and Lorenz curves, asymptotic distribution of the extreme values, Shannon and R´enyi entropies and order statistics, which hold for any baseline model. Further, we introduce a bivariate extension of the new family. We discuss the different methods of estimation of the model parameters and illustrate the potential application of the model via real data. A brief simulation for evaluating Maximum likelihood estimator is done. Finally certain characterziations of our model are presented

Some Completely Monotonic Properties for the (p, g)-Gamma Function

MSC 2010: 33B15, 26A51, 26A4

Some properties of Gamma Burr type X distribution with application

We develop a new continuous distribution called the Gamma-Burr type X (GBX) distribution that extends the Burr type X distribution that has increasing, decreasing and bathtub shapes for the hazard function. Various structural properties of this new distribution are provide, that includes the limit behavior, Quantile function and sub-models. From the generalization of the probability density function and cumulative distribution function of this distribution, the expression for the rth moment, moment generating function, Rényi entropy, and the order statistics can be established. We considered the maximum likelihood estimation to estimate the parameters. A real data set is applied to illustrate the usefulness of the GBX distribution. This new distribution will serve as an alternative model to other models available in the literature for modeling positive real data in many areas

Beta Burr type X with application to rainfall data

We introduce a new extension distribution for Burr type X with one parameter named the Beta Burr type X. The new distribution is extended from the Burr type X with one parameter. Several important properties of the new extension distribution are derived like the moment, and moment generating function. The maximum likelihood estimation is used to estimate the parameters involved. A rainfall data set from 1975 to 2005 for 35 stations in peninsular Malaysia is used for the application of this new model. It gives a better fit compared to several other distributions

Parent – teacher voices in Kosovo schools A micro-study on parent involvement

Parent involvement is crucial toward successful child home learning, involving multitude of duties and responsibilities. Successful schools found that the role of parents in children’s education is invaluable and of paramount importance, therefore it is the most accurate predicator of a child’s success in school. Recent data shows that majority of research agree to the point that despite many strides made by schools to get things better, there are hindered barriers either coming from the family as well as from the school. Creating a sustainable collaborative partnership seems to be the biggest challenge faced by practitioners engaged in school reform, as many schools continue to struggle with defining and measuring substantial parent involvement. The aim of this study is to uncover some of the attitudes and perceptions and provide a more accurate picture of parent involvement, as well as understanding the barriers to increased involvement in schools. Teacher perceptions on this relation were used as supplementing part of the study. A group of 100 parents and 10 primary school teachers constituted the sample of the study. Two types of questionnaire were designed, each containing specific questions. Responses, when applicable were measured using a 5-point Likert scale. It is the researchers hope that this study will give voice to Kosovo parents in creating more collaborative efforts and in turn more successes for children as they continue on their educational journey