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Sometimes a complex software system fails because of errors undiscovered in the design stage of the development process. Detecting these errors early in the process would eliminate many downstream problems. The so-called ''cap-ture–recapture'' model, initially used by biologists to estimate the size of wildlife populations, has been widely used to estimate… (More)

We consider the problem of selecting the single best choice when several groups of choices are presented sequentially for evaluation. In the so-called group interview problem, we assume that the values of choices are random observations from a known distribution function and derive the optimal search strategy that maximizes the probability of selecting the… (More)

In the classical sequential assignment problem, ''machines'' are to be allocated sequentially to ''jobs'' so as to maximize the expected total return, where the return from an allocation of job j to machine k is the product of the value x j of the job and the weight p k of the machine. The set of m machines and their weights are given ahead of time, but n… (More)

In direct marketing, customers are usually asked to take a specific action, and their responses are recorded over time and stored in a database. Based on the response data, we can estimate the number of customers who will ultimately respond, the number of responses anticipated to receive by a certain period of time, and the like. The goal of this article is… (More)

This paper formulates and discusses a series of sequential decision problems of the following common structure: A decision alternative of multiple attributes-that is, a job, an employee, or an investment alternative-is to be selected within a certain fixed length of time. An unknown number of alternatives are presented sequentially, either deterministically… (More)

A complex product, such as a software system, is often inspected more than once in a sequential manner to further improve its quality and reliability. In such a case, a particularly important task is to accurately estimate the number of errors still remaining in the product after a series of multiple inspections. In the paper, we first develop a maximum… (More)

One of the basic assumptions in Bayesian inspection models is that we have some prior knowledge about the number of defects in a certain product or software system. The prior knowledge can be often described as a probability distribution (e.g., Poisson distribution). In the paper, we propose three conditions that should be put forth as desirable properties… (More)