Discrimination of Observations into One of Two Elliptic Populations based on Monotone Training Samples

In this paper we deal with the problem of classifying a p-dimensional random vector into one of two elliptically contoured populations with unknown and distinct mean vectors and a common, but unknown, scale matrix. The classification procedure is based on two-step monotone training samples, one from each population, with the same monotone pattern. Our aim is to extend the classification procedure, which proposed recently by Chung and Han (Ann Ins Stat Math 52:544–556, 2000). This procedure is a linear combination of two discriminant functions, one based on the complete samples and the other on the incomplete samples. The performance of the proposed classification rule is compared with the plug-in method, this means with the classification rule which arises if the unknown parameters are substituted, into the usual classification rule, by their estimators. In order to apply the plug-in method, the MLE of the location parameters and of the common scale matrix of g ≥ 2 elliptically contoured populations are analytically obtained on the basis of two-step monotone training samples.     

Do channel members value the multiple-cooperation strategy?

When the manufacturer distributes his products through online and traditional channels, what type of innovative marketing strategy can be utilized to solve the channel conflict and improve the performances of all channel members? Our research addresses this important question by initiating a triple cooperative strategy for channel members to employ in a manufacturer – retailer dual-channel supply chain. Our results show that when the product is less compatible with online channel than with traditional channel, channel members can utilize a triple cooperative strategy to improve channel coordination and their individual performances effectively and efficiently. First, the manufacturer can utilize supportive retail sales effort as a valuable coordination mechanism to improve the performances of all channel members in the dual-channel distribution. Second, a channel coordinative price strategy can be utilized to further improve the performance of whole channel. Finally, a profit sharing mechanism is needed to create a Pareto result for both the manufacturer and the retailer. Furthermore, we extend our model to study the value of triple cooperative strategy in a manufacturer – two competitive retailers supply chain and derive the optimum marketing strategy.     

Second‐Order Discrimination and Generalized Lorenz Dominance

We propose a definition of second‐order discrimination that does not require the reference distribution to first‐order dominate the comparison one, and allows rankings of discrimination patterns when both the reference and the comparison distributions differ. It involves comparing the probabilities that randomly selected individuals in the reference and comparison distributions belong to subgroups having the same cumulative mean income, yields orderings of distributions equivalent to those from generalized Lorenz dominance, and allows orderings of discrimination patterns, partial or complete, across pairs of distributions. We compare discrimination against U.S. seniors (inter‐distributional inequality between seniors and non‐seniors) by ethnicity.     

Asymptotic distributions of φ-divergences of hypothetical and observed frequencies on refined partitions

For a wide class of goodness-of-fit statistics based on φ-divergences between hypothetical cell probabilities and observed relative frequencies, the asymptotic normality is established under the assumption n / m _n →γ∈(0,∞), where n denotes sample size and m _n the number of cells. Related problems of asymptotic distributions of φ-divergence errors, and of φ-divergence deviations of histogram estimators from their expected values, are considered too.     

Examining the relationship between stock return volatility and trading volume: new evidence from an emerging economy

Using daily stock return data for individual stocks from an emerging economy, this article examines the relationship between return volatility and trading volume under the theoretical postulate of the mixture of distributions hypothesis. The results suggest that the contemporaneous trading volume as a proxy for latent information arrival to the market did not contribute to the removal of significant ARCH or Generalized Autoregressive Conditional Heteroscedasticity effects that are found in stocks at the first stage of the investigation. The same holds for the lagged volume except for one case. This, perhaps, suggests that the trading volume (contemporaneous or lagged) is not adequately conveying information to induce traders’ views of the desirability of trade and, therefore, points to the need for searching for other micro and macro variables to be used as potential proxy for information arrival to the stock market of the emerging economy.     

Hedonic price indexes and the distribution of buyers across the product space: an application to mainframe computers

In this article we present the Silverman multimodality test and mixture distributions methodology, applying both approaches to the Survey of Economic Expectations of the Central Bank of Chile. The main results reflect the importance of a permanent monitoring of the complete distributions and not just central tendency meausures as is the practice in many central banks currently. We find that the forecasts of the private professional forecasters have systematically been in line with the inflation targeting range, although during episodes where the effective inflation proved to be outside the target range.     

Multivariate distributions characterized by a relationship between mean residual life and hazard rate

In this paper, we characterize some multivariate distributions based on a relationship between the multivariate hazard rate, as defined by Johnson and Kotz (1975) and Marshall (1975), and the multivariate mean residual life as defined by Arnold and Zahedi (1988). The results are extensions of the results obtained earlier by Roy (1989, 1990) and Ma (1996, 1997). Received July 1997     

Evaluation of P(Xt>Yt ) when both Xt and Yt are residual lifetimes of two systems

Let the random variables X and Y denote the lifetimes of two systems. In reliability theory to compare between the lifetimes of X and Y there are several approaches. Among the most popular methods of comparing the lifetimes are to compare the survival functions, the failure rates and the mean residual lifetime functions of X and Y. Assume that both systems are operating at time t > 0. Then the residual lifetimes of them are X_t=X?t | X>t and Y_t=Y?t | Y>t, respectively. In this paper, we introduce, by taking into account the age of systems, a time‐dependent criterion to compare the residual lifetimes of them. In other words, we concentrate on function R(t ):=P(X_t>Y_t) which enables one to obtain, at time t, the probability that the residual lifetime X_t is greater than the residual lifetime Y_t. It is mentioned, in Brown and Rutemiller (IEEE Transactions on Reliability, 22 , 1973) that the probability of type R(t) is important for designing as long‐lived a product as possible. Several properties of R(t) and its connection with well‐known reliability measures are investigated. The estimation of R(t) based on samples from X and Y is also discussed.     

UMP unbiased tests for multiparameter testing problems with restricted alternatives

Applications of the standard theory of UMP unbiased tests depends on conditions which in general are difficult to verify. In the present paper, however, we suggest more simple rules for applying this theory for regular exponential families of distributions. This approach leads to UMP unbiased tests for various multiparameter testing problems with restricted alternatives, and is shown to give justification for conditional tests for testing symmetry, diagonals-parameter symmetry and independence in two-way contingency tables. The derived tests are shown to possess attractive small sample properties. Received: June 1998     

分段跟踪识别器的多特征加权指标设计

分段跟踪识别器（STI）解决的是机动目标相邻运动模式切换时刻判定和运动模式参数辨识互相耦合的问题,这种非贝叶斯的方法不需要先验给定目标的运动模型集与模型之间的转移概率。STI在设计性能指标时主要存在以下两个问题：一是仅考虑目标位置与航向角连续性,特征量不完备;二是各连续性指标权重先验给定,缺乏设计准则。为此,提出了STI的多特征加权指标设计方法。首先,引入了速度连续性指标,改善了目标运动模式提取时特征量的完备性;然后,基于各指标的协方差矩阵对其权重分别进行了设计,消除了各指标量纲的影响。仿真结果表明,与STI相比,新提出的方法运行速度快,目标运动模式误切换次数与切换时延明显下降,目标位置与角速度估计精度也有所提升。