The McDonald Gompertz distribution: Properties and applications

This article introduces a five-parameter lifetime model called the McDonald Gompertz (McG) distribution to extend the Gompertz, generalized Gompertz, generalized exponential, beta Gompertz, and Kumaraswamy Gompertz distributions among several other models. The hazard function of new distribution can be increasing, decreasing, upside-down bathtub, and bathtub shaped. We obtain several properties of the McG distribution including moments, entropies, quantile, and generating functions. We provide the density function of the order statistics and their moments. The parameter estimation is based on the usual maximum likelihood approach. We also provide the observed information matrix and discuss inferences issues. The flexibility and usefulness of the new distribution are illustrated by means of application to two real datasets.     

Two-Stage Variables Acceptance Sampling Plans Using Process Loss Functions

In this article, a variable two-stage acceptance sampling plan is developed when the quality characteristic is evaluated through a process loss function. The plan parameters of the proposed plan are determined by using the two-point approach and tabulated according to various quality levels. Two cases are discussed when the process mean lies at the target value and when it does not, respectively. Extensive tables are provided for both cases and the results are explained with examples. The advantage of the proposed plan is compared with the existing variable single acceptance sampling plan using the process loss function.     

Probing Institutional Quality Through Ethnic Diversity,Income Inequality and Public Spending

Social Indicators Research - We measure performance change for the educational systems of 28 countries which participated in the Trends in International Mathematics and Science Study in years 2007...     

On estimation of population mean based on two measurements

There are many estimators for population mean: arithmetic mean, median, root mean square, geometric mean, harmonic mean, and so forth. Which one is the best? Here, we answer this question given two measurements from a uniform distribution.     

Human Capital Outflow and Economic Misery: Fresh Evidence for Pakistan

This paper visits the impact of economic misery on human capital outflow using time series data over the period of 1975–2012. We have applied the combined cointegration tests and innovation accounting approach to examine long run and causal relationship between the variables. Our results affirm the presence of cointegration between the variables. We find that economic misery increases human capital outflow. Foreign remittances add in human capital outflow from Pakistan. The migration from Pakistan to rest of world is boosted by depreciation in local currency. Income inequality is also a major contributor to human capital outflow. The present study is comprehensive effort and may provide new insights to policy makers for handling the issue of human capital outflow by controlling economic misery in Pakistan.

     

The power series skew normal class of distributions

A class of power series skew normal distributions is introduced by generalizing the geometric skew normal distribution of Kundu. Various mathematical properties are derived and estimation addressed by the method of maximum likelihood. The data application of Kundu [Sankhyā B, 76, 2014, 167–189] is revisited and the proposed class is shown to provide a better fit.     

Tongues of fire: women's suicide and self‐injury by burns in the Kurdistan Region of Iraq

Self‐burning and self‐immolation are forms of self‐harm found across the Eastern Mediterranean region and South and Central Asia. The majority of those choosing these methods of self‐harm are young women. Using data from 100 young female survivors of suicidal attempts in the Kurdistan Region of Iraq, this article analyses the phenomenon in the context of a life‐course progression arguing that the period around first marriage is a time of particular trauma to women. We suggest that self‐burning should be understood as a communicative act with an indigenous semiology which functions as an expression of subordinated agency within a male‐dominated society, in which marriage is a major source of conflict between generations and genders.     

Optimal designing of skip-lot sampling plan of type SkSP-2 with group acceptance sampling plan as reference plan under Burr-type XII distribution

In this paper, skip-lot sampling plan of type SkSP-2 with group acceptance sampling plans is proposed when the lifetime of the product follows the Burr-type XII distributions. The optimal parameters of the proposed plan are determined when two points on operating characteristics curve namely acceptable quality level and limiting quality level and the number of testers are specified. We also considered the Burr-type XII distribution to find the plan parameters. Several tables are given for practical use. We compare the results of proposed plan with the existing plans. Results are explained using real-world examples.     

Finite time ruin probability and structural density properties in the presence of dependence in insurance risk model

In the present paper, we consider the classical compound Poisson risk model with dependence between claim sizes and claim inter-arrival time. We attempt to analyze the approximation of finite time ruin probability. The finite time ruin probabilities are plotted for fixed threshold value associated to the claim inter-arrival time and also for fixed dependence parameter in Nelsen (2006) copula separately. Additionally, a general form for joint density of the interclaim times and claim sizes is considered. With respect to the classical Gerber-Shiu's (1998) function, first some structural density properties of dependent collective risk model is obtained. Then the ladder height probability density function of claim sizes is computed and the dependency structure investigated for Erlang interclaim time. As the application, some dependent models of the interclaim times and claim sizes are studied.     

Randomly weighted average with Dirichlet component proportions

This article introduces a new average of n independent continuous random variables X₁, …, X_n weighted by Dirichlet random components. A relation between the Cauchy–Stieltjes transforms of the distribution functions of this weighted average and X₁, …, X_n is established. Several examples illustrate usefulness and applicability of the result.