Seymour Martin Lipset: The social uses of anomaly

Let me preface my remarks by saying that we are here to honor a living, breathing colleague. My great concern, and in this I am sure that I speak for my colleagues as well, is that any imputation of a postmortem be avoided. Indeed, I would like to believe that Marty will review these various contributions and make his own assessments-critical or approvingly. The fact that he is not present in this conference hall should not deter us from speaking frankly and forthrightly. Marty merits nothing less. What binds us all is the sure knowledge that the work of Lipset speaks to us in personal as well as professional ways. That he has touched so many of us in both the private and public realms is itself a testimonial of the magnitude of his contribution to the field of political sociology. So it is in that spirit of a collégial dialogue that I offer these remarks. Let us hope that a year from now a session of one person can be held, at which S. M. Lipset will provide rebuttals and responses to those of us herein gathered. His most recent work in the field is Behemoth: Main Currents in the History and Theory of Political Sociology. The two major sources for traching the written works of Seymour Lipset are contained in Reexamining Democracy: Essays in Honor of Seymour Martin Lipset, edited by Gary Marx and Martin Diamond. Newberry Park, California: Sage Publishers. 1992, especially pp. 332–355. For work done by Lipset after 1991; as embodied in his later work, see Lipset's essay on “Steady Work: An Academic Memoir,” Annual Review of Socialogy: Greenwich, CT: JAI Press, 1996, pp. 1–27. My reference to works mentioned in the narrative can be found in either of these bibliography sources.     

Socialist utopias and scientific socialists: Primary fanaticisms and secondary contradictions

Early utopias envisioning a perfect order were superseded by small-scale versions in utopian communities. Scientific socialism then held that utopian socialism was doomed to failure in a hostile capitalistic world. As the Soviet experience elicited anti-utopias, utopianism has been unable to resolve its own contradictions in an imperfect world. This tragic outcome is an opportunity for sociology in its study of human interactions to analyze both the possibilities and the inherent limitations of proposed social systems. By monitoring the rich variety of social experience, it may help to restrain some of the fanaticisms that now surround us.These remarks were presented at the 1988 annual meetings of the Eastern Sociological Society in Philadelphia, March 1988.     

Economics of Radiation Protection: Equity Considerations

In order to implement cost-benefit analysis of protective actions to reduce radiological exposures, one needs to attribute a monetary value to the avoided exposure. Recently, the International Commission on Radiological Protection has stressed the need to take into consideration not only the collective exposure to ionising radiation but also its dispersion in the population. In this paper, by using some well known and some recent results in the economics of uncertainty, we discuss how to integrate these recommendations in the valuation of the benefit of protection.     

Three pseudo-paradoxes in ‘quantum’ decision theory: Apparent effects of observation on probability and utility

In quantum domains, the measurement (or observation) of one of a pair of complementary variables introduces an unavoidable uncertainty in the value of that variable's complement. Such uncertainties are negligible in Newtonian worlds, where observations can be made without appreciably disturbing the observed system. Hence, one would not expect that an observation of a non-quantum probabilistic outcome could affect a probability distribution over subsequently possible states, in a way that would conflict with classical probability calculations. This paper examines three problems in which observations appear to affect the probabilities and expected utilities of subsequent outcomes, in ways which may appear paradoxical. Deeper analysis of these problems reveals that the anomalies arise, not from paradox, but rather from faulty inferences drawn from the observations themselves. Thus the notion of quantum decision theory is disparaged.     

New Prediction Interval and Band in the Nonlinear Regression Model: Application to Predictive Modeling in Foods

This article is concerned with the proposal of a new prediction interval and band for the nonlinear regression model. The construction principle of this interval and band is based on an exact (the meaning of the term “exact” will be given later) confidence region for parameters of the nonlinear regression model. This region, fully described in Vila and Gauchi (2007 Vila , J.-P. , Gauchi , J.-P. ( 2007 ). Optimal designs based on exact confidence regions for parameter estimation of a nonlinear regression model . Journal of Statistical Planning and Inference 137 ( 9 ): 2935 – 2953 .[Crossref], [Web of Science ®] , [Google Scholar]), provides a rigorous justification for the new prediction interval and band that we propose. This new band is then compared to the classical bands (which are asymptotic and thus approximate for small n), and also to the band based on the bootstrap resampling method. The comparison of these bands is undertaken with simulated and real data from predictive modeling in food science.     

Confidence Intervals for a Binomial Parameter after Observing No Successes

The easily computed, one-sided confidence interval for the binomial parameter provides the basis for an interesting classroom example of scientific thinking and its relationship to confidence intervals. The upper limit can be represented as the sample proportion from a number of “successes” in a future experiment of the same sample size. The upper limit reported by most people corresponds closely to that producing a 95 percent classical confidence interval and has a Bayesian interpretation.     

Efficient estimators for the good family

We consider the problem of estimating the two parameters of the discrete Good distribution. We first show that the sufficient statistics for the parameters are the arithmetic and the geometric means. The maximum likelihood estimators (MLE's) of the parameters are obtained by solving numerically a system of equations involving the Lerch zeta function and the sufficient statistics. We find an expression for the asymptotic variance-covariance matrix of the MLE's, which can be evaluated numerically. We show that the probability mass function satisfies a simple recurrence equation linear in the two parameters, and propose the quadratic distance estimator (QDE) which can be computed with an ineratively reweighted least-squares algorithm. the QDE is easy to calculate and admits a simple expression for its asymptotic variance-covariance matrix. We compute this matrix for the MLE's and the QDE for various values of the parameters and see that the QDE has very high asymptotic efficiency. Finally, we present a numerical example.     

Expressing Estimators of Expected Quality Adjusted Survival as Functions of Nelson-Aalen Estimators

Quality adjusted survival has been increasingly advocated in clinical trials to be assessed as a synthesis of survival and quality of life. We investigate nonparametric estimation of its expectation for a general multistate process with incomplete follow-up data. Upon establishing a representation of expected quality adjusted survival through marginal distributions of a set of defined events, we propose two estimators for expected quality adjusted survival. Expressed as functions of Nelson-Aalen estimators, the two estimators are strongly consistent and asymptotically normal. We derive their asymptotic variances and propose sample-based variance estimates, along with evaluation of asymptotic relative efficiency. Monte Carlo studies show that these estimation procedures perform well for practical sample sizes. We illustrate the methods using data from a national, multicenter AIDS clinical trial.