This article gives a survey on some important maintenance policies involving minimal repairs and replacements of technical systems. The main focus is on policies, which have been published after 1990. Based on a thinned nonhomogeneous Poisson process, repair cost limit policies with minimal...

Point estimation constitutes the heart of statistics. In this paper the corresponding methods are looked at from the viewpoint of a user and it is shown that point estimation procedures not only have major conceptual deficiencies, but that the corresponding methods offered and recommended in...

This article investigates the problem of minimizing the average fraction inspected (AFI) for a combined continuous lot by lot acceptance sampling plan. A solution procedure is developed to find sub-optimal sampling plan parameters that will meet the average outgoing quality limit (AOQL)...

Since the first acceptance sampling plans have been developed almost 80 years ago, a number of selection principles have emerged. The majority of these principles is characterized by the fact that they look upon producer and consumer as two opposing parties. However, in many occasions, e.g., in...

In [v. Collani, Theoretical Stochastics, Heldermann Verlag, 2004] and [v. Collani, Empirical Stochastics, Heldermann Verlag, 2004] Stochastics, the Science of Prediction is re-established, its basic concepts are developed and fundamental stochastic procedures are introduced. Stochastics is...

Controlling uncertainty has an ever-increasing importance in all areas of industry. To meet the demand, the International Organisation of Standardization (ISO) developed and develops “statistical” standards. However, while success and failure of technical standards can be assessed rather...

Stochastics investigates the relations between the determinate past and the indeterminate future, quantifies the structured connectivity of past and future and, thus, can be looked upon as a Science of Change. This reminds of the Book of Change, the ancient Chinese classics I Ging, which is...

Frequent wastage or exit of personnel are common in many administrative and production oriented organizations. Once the accumulated number of exits from the organization reaches a certain threshold level, it could be viewed as a “breakdown point”. The time to attain breakdown point is an...

Flour is the major ingredient for biscuit manufacturing. The selection of flour for a particular variety of biscuits is based on the performance of the Extensibility(E) and Resistance (R) properties, in general. However, the testing times of “E” and “R” led to an issue of 67% untested...

This paper presents statistical inference procedures from Spn , a process capability index for asymmetrical processes proposed by Boyles. From the frequentist perspective, a conservative lower confidence bound is given. From the Bayesian perspective, the SIR algorithm is used to obtain the...