Estimation of the generalized logistic distribution parameters: Comparative study

The generalized logistic distribution can be considered as a proportional reversed hazard family with the baseline distribution as the logistic distribution. The generalized logistic distribution has been used to model the data with a unimodal density. In this comparison paper, the authors considered the maximum likelihood estimation of the different parameters of a generalized logistic distribution as well as other five estimation procedures. In this paper, we compare the performances of these procedures through an extensive numerical simulation.     

Asymptotic properties of likelihood ratio test statistics in affected‐sib‐pair analysis

In an affected‐sib‐pair genetic linkage analysis, identical by descent data for affected sib pairs are routinely collected at a large number of markers along chromosomes. Under very general genetic assumptions, the IBD distribution at each marker satisfies the possible triangle constraint. Statistical analysis of IBD data should thus utilize this information to improve efficiency. At the same time, this constraint renders the usual regularity conditions for likelihood‐based statistical methods unsatisfied. In this paper, the authors study the asymptotic properties of the likelihood ratio test (LRT) under the possible triangle constraint. They derive the limiting distribution of the LRT statistic based on data from a single locus. They investigate the precision of the asymptotic distribution and the power of the test by simulation. They also study the test based on the supremum of the LRT statistics over the markers distributed throughout a chromosome. Instead of deriving a limiting distribution for this test, they use a mixture of chi‐squared distributions to approximate its true distribution. Their simulation results show that this approach has desirable simplicity and satisfactory precision.     

The Reflexive Producer: The Influence of Farmer Knowledge Upon the Use of Bt Corn*

Abstract This paper examines the influence of farmer knowledge upon decision making processes. Drawing upon the sociological debates around the ideas of reflexive modernity and biotechnology as well as from classic adoption and diffusion studies, I explore the influences upon farmers' use of Bacillus thuringiensis (Bt) corn. Utilizing survey data gathered from corn farmers in Minnesota and Wisconsin, I argue that farmers are ‘reflexive’ actors who actively negotiate between ‘expert’ and ‘local’ knowledges when deciding to plant Bt corn. Furthermore, I hypothesize that farmers are more likely to be influenced by their first‐hand or local experiences than by state or expert observations.     

A fair division solution to the problem of redistricting

Redistricting is the political practice of dividing states into electoral districts of equal population in response to decennial census results to ensure equal representation in the legislative body. Where the boundaries are drawn can dramatically alter the number of districts a given political party can win. As a result, a political party which has control over the legislature, can (and does) manipulate the boundaries to win a larger number of districts, thus affecting the balance of power in the US House of Representatives. This work introduces a novel solution to the problem of fairly redistricting a state that is motivated by the ideas of fair division. Instead of trying to ensure fairness by restricting the shape of the possible maps or by assigning the power to draw the map to nonbiased entities, this solution ensures fairness by balancing competing interests against each other. Essentially, it is a simple interactive protocol that presents two parties with the opportunity to achieve their fair representation in a state (where the notion of fairness is rigorously defined) and as a result a balanced electoral map is created.     

How project strategy is used in project management: Cases of new product development and software development projects

Project strategy is an emerging concept in the research literature on project management. Many authors suggest that such a strategy should be used by a project team as a guideline for effectively performing project activities. In this study, we explore how project strategy is used. We found that the project teams applied various forms of project strategy, namely, Product Superiority, Customer Intimacy, and Time-to-Market strategies. A combination of these strategies was also used. This study contributes to the literature in the area of strategic alignment and strategy implementation. It also helps practitioners better understand how to implement project strategy.     

Tables of the cumulative non-central chi-square distribution Part 51

Some bounds and approximations for the mean of second largest order sta¬tistic from an arbitrary continuous distribution symmetric about zero are obtained. For the standard normal case, FOURIER coefficients involved in the approximation procedure are tabulated and the bounds obtained are compared with other similar methods     

Model Selection When a Key Parameter is Constrained to be in an Interval

This article considers model selection procedures based on choosing the model with the largest maximized log-likelihood minus a penalty, when key parameters are restricted to be in a closed interval. Its main emphasis is how these penalties might be chosen in small samples to give good properties of the resultant procedure. We illustrate two model selection problems in the context of Box–Cox transformations and their application to the linear regression model. Simulation results for both problems indicate that the new procedure clearly dominates existing procedures in terms of having higher probabilities of correctly selecting the true model.     

Statistical Analysis for the Inverse Trinomial Distribution

This article considers parameter estimation, goodness of fit, likelihood ratio and score tests, and model selection by Akaike information criterion for the inverse trinomial (IT) distribution, a classical one-dimensional random walk distribution. The IT distribution has a cubic variance function of the mean and is a generalization of the negative binomial distribution. Basic distributional properties and expressions for the probability mass function, recurrence formula, moments, and score functions are also presented.