Abstract. A grouped data model for Weibull distribution is considered. Under mild con-ditions, the maximum likelihood estimators(MLE) are shown to be identifiable, stronglyconsistent, asymptotically normal, and satisf...Abstract. A grouped data model for Weibull distribution is considered. Under mild con-ditions, the maximum likelihood estimators(MLE) are shown to be identifiable, stronglyconsistent, asymptotically normal, and satisfy the law of iterated logarithm. Newton iter-ation algorithm is also considered, which converges to the unique solution of the likelihoodequation. Moreover, we extend these results to a random case.展开更多
This paper deals with the jointed decision question on ordering and pricing for a short-life-cycle product under stochastic multiplicative demand depended selling price. According to the marketing practices, which ret...This paper deals with the jointed decision question on ordering and pricing for a short-life-cycle product under stochastic multiplicative demand depended selling price. According to the marketing practices, which retailers sell their products in different periods with the different marketing policies, we depict the jointed decision question with a stochastic dynamic programming model from the view of the centralized system. Then, we prove that the expected profit function are concave on decision vectors respectively, and develop the decision method for ordering and pricing. Lastly, we design the iterative search arithmetic to find the optimal decision vectors.展开更多
基金the National Natural Science Foundation of China
文摘Abstract. A grouped data model for Weibull distribution is considered. Under mild con-ditions, the maximum likelihood estimators(MLE) are shown to be identifiable, stronglyconsistent, asymptotically normal, and satisfy the law of iterated logarithm. Newton iter-ation algorithm is also considered, which converges to the unique solution of the likelihoodequation. Moreover, we extend these results to a random case.
基金This research is partly supported by National Natural Science Foundation of China （70473037）, the Innovation Fund for PhD Candidate of NUAA（4003-019010）, and the Science and Technology Foundation of Henan Education Committee（2006120004）.
文摘This paper deals with the jointed decision question on ordering and pricing for a short-life-cycle product under stochastic multiplicative demand depended selling price. According to the marketing practices, which retailers sell their products in different periods with the different marketing policies, we depict the jointed decision question with a stochastic dynamic programming model from the view of the centralized system. Then, we prove that the expected profit function are concave on decision vectors respectively, and develop the decision method for ordering and pricing. Lastly, we design the iterative search arithmetic to find the optimal decision vectors.
