Moment inequalities for order statistics from ordered families of distributions

Summary In this paper some inequalities for the variance and covariance of convex monotone functions of order statistics from ordered families of distributions are presented. The considered order relations in the set of distributions are the stochastic ordering relation and the convex ordering relation. Stochastic comparisons of spacings and their sums are also given. As corollaries the results for IFR and DFR distributions are obtained.     

Unfair dismissal legislation and property rights: some reflections

Starting from the premise that workers have ‘property rights’ in their jobs, this article considers ways in which British unfair dismissal legislation might be said to uphold such rights. The evidence indicates that remedies of compensation and re-employment afford minimal property rights to unfairly dismissed workers.     

Public Schools and In-migration in North Carolina Counties, 1975–80

Abstract . The migration model presented in this paper indicates (hat the academic quality of public schools, independent of their racial composition, is an important determinant of in-migration in North Carolina counties. The failure to control for school quality is shown to lead to a significant overestimate of the negative impact of school racial mix. These results accord with the Tiebout Hypothesis and with a growing body of other research which suggests that the distributions of public services and other amenities are the principal determinants of recent migration patterns in the U.S.     

THE JOINT ARRIVAL AND DEPARTURE PROCESS FOR THE M/M/l QUEUE

We consider the M/M/1-queue and derive an explicit expression for the joint distribution of the number of arrivals and the number of departures in [0, t), given the number of customers initially present. The derivation is almost purely combinatorial, it avoids the use of generating functions, and immediately yields a simple probabilistic interpretation of the result.     

Exact finite sample properties of double k-class estimators in simultaneous equations

In our earlier paper [Srivastava, Agnihotri and Dwivedi (1980)] the dominance of double k-class over k-class with respect to exact mean squared error matrix criteria is established. It is observed that given a member of k-class, one can pick up a member of double k-class that will provide an improved estimator of the coefficients. This result prompted us to study the exact finite sample properties of the double k-class estimator. For this, we have considered a structural equation containing two endogenous variables and have investigated the properties of double k-class estimators of the coefficients of explanatory endogenous variables assuming characterizing scalars to be non-stochastic.     

Productive behavior through the life course: An essay on the quality of life

Present patterns of productive activity are neither well recognized, optimal for society, nor in accordance with individual prefence. Although a great deal of attention has been given to meeting people's needs for income, medical care, and other services, the quality of their lives must also be defined by what they do for themselves and for others. In discovering present patterns of productive activity throughout the life course and optimizing those patterns, we will raise the quality of American life. To accomplish this task, two great changes are needed: we must recognize the full range of productive activities throughout the life course and give people the opportunity to modify the allocation of paid employment.     

Unionism and the public sector

It is incorrect and misleading to speak of unionization as a ‘human right’. The only human right is ‘self-ownership’, i.e. to pursue goals with one's own abilities but with no force or fraud against others. Government cannot dispense rights, only privileges and protections to some at the expense of others. A minimal degree of coercion exercised by government is unavoidable. But labor unions are not governments. Government has granted significant privileges to unions in the private sector, but such are not appropriate for public sector unions.