DYNAMIC INTERACTION OF PRICE AND DESIGN QUALITY FOR PRODUCTS WITH CONVEX PRODUCTION COSTS

Price and design quality define value for customers and are often used by firms to position products in the marketplace. Setting price and quality level on a new product for the first time and making appropriate changes over time to these variables to reflect changing conditions in the market requires careful coordination of design, manufacturing, and marketing variables. We present a control theoretic model to study the complex interaction among price, quality, and cost during the life cycle of a product. Our model considers the major design-manufacturing-marketing tradeoffs and helps determine optimal pricing, design quality, and production strategies in a dynamic environment with convex production costs.     

Children's participation in child protection—How do practitioners understand children's participation in practice?

Children's participation is essential to achieve good outcomes for children involved in child protection systems. Despite this, research has consistently found children report low levels of participation, are poorly consulted and feel inadequately involved in decisions about their lives. To explore how practitioners understand children's participation, 18 in-depth interviews were conducted with statutory child protection practitioners in Australia. The interviews explored the ways child protection practitioners understand children's participation. Our findings show practitioners conceptualize children as rights holders and believe it is essential to hear directly from children about their needs and wishes to keep them safe. Practitioners identified the importance of transparent processes and decisions. Different understanding of participation emerged, with some participants talking about children as their central focus but not discussing meaningful participation of the child. It appeared that children's participation relied largely on the views and skills of individual workers, as well as their ability to incorporate meaningful participation in limited time and in complex practice environments where children's safety is a primary concern. Systemic changes to address time barriers, training practitioners to understand and implement participatory practice, and seeking children's input into service design, will support consistent and meaningful participation.     

Toward an Understanding of Founder's Syndrome: An Assessment of Power and Privilege Among Founders of Nonprofit Organizations

On the subject of stewardship, Block (1996, p. 47) writes, “Stewardship not only affects the use of power, but it also confronts the way we hold privilege.” He also states, “Holding on to privilege is an act of self‐interest, the antithesis of service and stewardship.” As Block uses it, the term privilege denotes a class structure within governance settings, and self‐interest refers to using one's power (through the exercise of privilege) to ascertain an objective that may not be in accord with others'.     

Recurrence relations for moments of progressively censored order statistics from logistic distribution with applications to inference

In this paper, we establish several recurrence relations for the single and product moments of progressively Type-II right censored order statistics from a logistic distribution. The use of these relations in a systematic manner allows us to compute all the means, variances and covariances of progressively Type-II right censored order statistics from the logistic distribution for all sample sizes n, effective sample sizes m, and all progressive censoring schemes (R₁,…,R_m). The results established here generalize the corresponding results for the usual order statistics due to [Shah, 1966] and [Shah, 1970]. These moments are then utilized to derive best linear unbiased estimators of the location and scale parameters of the logistic distribution. A comparison of these estimators with the maximum likelihood estimations is then made. The best linear unbiased predictors of censored failure times are briefly discussed. Finally, an illustrative example is presented.     

Optimal designs for tumor regrowth models

Most growth curves can only be used to model the tumor growth under no intervention. To model the growth curves for treated tumor, both the growth delay due to the treatment and the regrowth of the tumor after the treatment need to be taken into account. In this paper, we consider two tumor regrowth models and determine the locally D- and c-optimal designs for these models. We then show that the locally D- and c-optimal designs are minimally supported. We also consider two equally spaced designs as alternative designs and evaluate their efficiencies.     

On some mixture models based on the Birnbaum-Saunders distribution and associated inference

In this paper, we consider three different mixture models based on the Birnbaum-Saunders (BS) distribution, viz., (1) mixture of two different BS distributions, (2) mixture of a BS distribution and a length-biased version of another BS distribution, and (3) mixture of a BS distribution and its length-biased version. For all these models, we study their characteristics including the shape of their density and hazard rate functions. For the maximum likelihood estimation of the model parameters, we use the EM algorithm. For the purpose of illustration, we analyze two data sets related to enzyme and depressive condition problems. In the case of the enzyme data, it is shown that Model 1 provides the best fit, while for the depressive condition data, it is shown all three models fit well with Model 3 providing the best fit.     

On simultaneous closeness probabilities of order statistics from odd sample sizes to the population median

In this note, we present alternative derivations for the probability that an individual order statistic is closest to the target parameter among all order statistics from a complete random sample. This approach is simpler than the geometric arguments used earlier. We also provide a simple direct proof for the symmetry property of the simultaneous closeness probabilities among order statistics for the estimation of percentiles from a symmetric family. Finally, we offer an alternative simpler proof for the result that sample medians from larger odd sample sizes are Pitman closer to the population median than sample medians from smaller odd sample sizes.