NONNULL DISTRIBUTION OF LIKELIHOOD RATIO CRITERION FOR TESTING MULTISAMPLE SPHERICITY IN THE COMPLEX CASE

In this paper, nonnull moments of the likelihood ratio statistic for testing multisample sphericity in the complex case have been derived in series involving zonal polynomials. The nonnull asymptotic distribution of the statistic is also derived for certain alternatives.     

Population estimates for Bangladesh: The use of a specific transitional population model

Summary The development of population in Bangladesh was affected by a succession of man-made and natural calamities, such as the Bengal Famine of 1943, refugee movements following the partition of India and Pakistan in 1947, devastating floods and cyclones around 1970, and the military action during the war of liberation. Though there had been a tradition of census taking and vital registration in Bangladesh, as part of the Indian sub-continent, extending for over a century, vital registration was so deficient as to be almost valueless, and there were gross misstatements of age and under-enumeration in the censuses. In the census of 1941, on the other hand, political manoeuvring led to a substantial overcount of the population. In this paper, Bangladesh population trends are studied within the broader framework of the subcontinent, taking account of plausible differentials. A considerable element of uncertainty was introduced into growth trends as a result of variations in the completeness of census-taking and of unrecorded refugee and labour movements across open land borders. In this connection the substantial inflationary bias associated with techniques of population estimation using the dual record system is discussed. The application of stable population models is even less justified in Bangladesh with its history of declining mortality. A transitional age structure model was constructed on the basis of the information available on declining mortality and accelerating growth and the model was made even more specific by modifications which took care of the impact of recent calamities and of unrecorded migration. The population base of the census of 1961 was adjusted in accordance with this model. The local mortality age pattern was used in projecting the population by sex and age groups to the date at which the census was originally due to be taken in 1971, and to the date when it was actually taken in March 1974. The post-1970 calamities and their effect on mortality were ignored. The aggregate estimate of population of 72.9 million in March 1974 is slightly in excess of the census count (by about two per cent) reported provisionally as 71.3 million. The excess in our estimate could be accounted for by the losses due to cyclone and military action.     

The order statistics of exponential,power function and pareto distributions and some applications

Some relations between the exponential, the Pareto and the Power function distributions and their order statistics are given. These relations are employed to obtain some characterization theorems of Pareto and Power distributions.     

Asymptotic expansion of the nonnull distribution of likelihood ratio statistic for testing multisample sphericity

Asymptotic expansion of the nonnull distribution of the likelihood ratio statistic for testing muitisample sphericity in q multinormal populations is derived for the alternatives close to the null hypothesis.     

Waiting time paradox and size biased sampling

Feller's (1971) 'Waiting time for the bus paradox1 is explained by the fact that the long Interarrival times have a better chance of covering an arbitrary point in time than do short interarrival times, This gives rise to size biased sampling and the length of the Interarrival time that contains the arbitrary point has a moment distribution, This paper deals with the characterization of the exponential distribution based on this 'Waiting time paradox'. Similar characterizations of the binomial, the negative binomial, the Poisson and the geometric distributions are obtained.     

“And Now I’m Just Different,but There’s Nothing Actually Wrong With Me”: Asexual Marginalization and Resistance

This article explores the relationship between contemporary asexual lives and compulsory sexuality, or the privileging of sexuality and the marginalizing of nonsexuality. Drawing on 30 in-depth interviews, I identify four ways the asexually identified individuals in this study saw themselves as affected by compulsory sexuality: pathologization, isolation, unwanted sex and relationship conflict, and the denial of epistemic authority. I also identify five ways these asexually identified individuals disrupted compulsory sexuality: adopting a language of difference and a capacity to describe asexuality; deemphasizing the importance of sexuality in human life; developing new types of nonsexual relationships; constituting asexuality as a sexual orientation or identity; and engaging in community building and outreach. I argue that some of these practices offer only a limited disruption of compulsory sexuality, but some of these practices pose a radical challenge to sexual norms by calling into question the widespread assumption that sexuality is a necessary part of human flourishing.     

Estimation in long memory time series models

A regression type estimator of the parameter d in fractionally differenced ARMA (p,q) processes is presented. The proposed estimator is shown to be mean square consistent. Its performance is compared with some of the existing estimators via a simulation study.     

Presidential Direct Action and Policy Continuity: The Case of U.S. International Population Policy*

Objectives. The purpose of this study is to describe and analyze the modern practice of unilateral presidential policy making in the area of U.S. international population policy. The analysis focuses on the implications of this practice in a constitutional system intended to limit and constrain direct presidential action in policy making. Methods. The authors conduct their analysis using a variety of qualitative sources, including leading studies on the topics of presidential direct action and U.S. international population policy, and government documents. Conclusions. Policy development in this area has been marked by dramatic back‐and‐forth shifts due to the modern practice of presidents making many decisions without legislative involvement. Although not the only policy area in which this practice has become the norm, the case study of U.S. international population policy reveals the pitfalls of deviating from the constitutional design of a system of balanced and constrained powers.     

An algorithm to dynamically adjust the number of Kanbans in stochastic processing times and variable demand environment

In a real-life environment, the just-in-time JIT system is subjected to various types of uncertainties such as stochastic processing times and variable demand. Since, JIT was only meant to operate in a deterministic environment, its performance is seriously affected by variations in processing times and demand. In this paper, a newly developed Kanban system is presented which uses an algorithm to dynamically and systematically manipulate the number of Kanbans in order to offset the blocking and starvation caused by the said uncertainties during a production cycle. The new system is termed a flexible Kanban system FKS . The steps of the algorithm are detailed and the effectiveness of FKS is demonstrated using an example model. For the example model, the solution procedure, results and a discussion are presented.     

A new class of weighted exponential distributions

Introducing a shape parameter to an exponential model is nothing new. There are many ways to introduce a shape parameter to an exponential distribution. The different methods may result in variety of weighted exponential (WE) distributions. In this article, we have introduced a shape parameter to an exponential model using the idea of Azzalini, which results in a new class of WE distributions. This new WE model has the probability density function (PDF) whose shape is very close to the shape of the PDFS of Weibull, gamma or generalized exponential distributions. Therefore, this model can be used as an alternative to any of these distributions. It is observed that this model can also be obtained as a hidden truncation model. Different properties of this new model have been discussed and compared with the corresponding properties of well-known distributions. Two data sets have been analysed for illustrative purposes and it is observed that in both the cases it fits better than Weibull, gamma or generalized exponential distributions.