![]() But in reality these constants are dependent on various non-deterministic factors thus leading to uncertainty in their exact computation which means the optimal cost obtained by assuming constant cost coefficient will not describe the actual picture which might lead to incorrect decision making eventually leading to huge losses. One of the prime assumptions in the existing cost models in software reliability is that the cost coefficients are static and deterministic. ![]() In the last four decades, various cost models with different assumptions are proposed by researchers to find the optimal release time of software. Determination of optimal warranty is a trade-off between providing maximum warranty at minimum cost. Due to this, determining optimal warranty period at the time of software release is an imperative concern for a software firm. But servicing under warranty period incurs high costs at the developer end. ![]() At the same time software firms are offering a warranty period with the software to attract customers and to gain their faith in the product. ![]() Moreover, due to stiff competition in market, developers cannot spend too much time on testing, therefore now a day’s software firms are upgrading their product by launching multiple versions of their product. Prolonged testing is needed to ensure a higher reliability level of the software but at the same time it adds to the cost of production. A Memorandum submitted to the Statistical Research Group, Columbia University, April 1944.With ever growing demand of consumers for high quality reliable software product software firms are updating their products frequently. Q.C./R/19.Ībraham Wald, A General Method of Deriving the Operating Characteristics of any Sequential Probability Ratio Test. Stockman, A Method of Obtaining an Approximation for the Operating Characteristic of a Wald Sequential Probability Ratio Test Applied to a Binomial Distribution, (British) Ministry of Supply, Advisory Service on Statistical Method and Quality Control, Technical Report, Series ‘ R’ No. Barnard, M.A., Economy in Sampling with Reference to Engineering Experimentation (British) Ministry of Supply, Advisory Service on Statistical Method and Quality Control, Technical Report, Series ‘ R’ No. A Report submitted by the Statistical Research Group, Columbia University to the Applied Mathematics Panel, National Defense Research Committee, July 1944. Harold Freeman, Sequential Analysis of Statistical Data: Applications. A report submitted by the Statistical Research Group, Columbia University to the Applied Mathematics Panel, National Defense Research Committee, Sept. (1940).Ībraham Wald, Sequential Analysis of Statistical Data: Theory. Conf., Calcutta, Statistical Publishing Soc. Mahalanobis, “A sample survey of the acreage under jute in Bengal, with discussion on planning of experiments,” Proc. Birnbaum, “An inequality for Mill’s ratio”, Annals of Math. 12 (1941).Ībraham Wald, “On cumulative sums of random variables”, Annals of Math. Harold Hotelling, “Experimental determination of the maximum of a function”, Annals of Math. Walter Bartky, “Multiple sampling with constant probability”, Annals of Math. Romig, “A method of sampling inspection,” The Bell System Tech. This process is experimental and the keywords may be updated as the learning algorithm improves. These keywords were added by machine and not by the authors. This process is continued until either the first or the second decision is made. Again on the basis of the first two trials one of the three decisions is made and if the third decision is reached a third trial is performed, etc. If the third decision is made, a second trial is performed. If the first or the second decision is made, the process is terminated. On the basis of the first trial, one of the three decisions mentioned above is made. Thus, such a test procedure is carried out sequentially. By a sequential test of a statistical hypothesis is meant any statistical test procedure which gives a specific rule, at any stage of the experiment (at the n-th trial for each integral value of n), for making one of the following three decisions: (1) to accept the hypothesis being tested (null hypothesis), (2) to reject the null hypothesis, (3) to continue the experiment by making an additional observation.
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