Browsing by Author "Rosaiah, K."
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Item Bootstrap confidence intervals of CNpk for exponentiated Fréchet distribution(Springer Nature, 2019) Gadde, S. R.; Rosaiah, K.; Mothukuri, S. B.Confidence intervals for process capability index using bootstrap method (Chen and Pearn, Qual Reliab Eng Int 13(6), 355–360, 1997) are constructed through simulation assuming that the underlying distribution is exponentiated Fréchet distribution (EFD). Parameters are estimated by Maximum likelihood (ML) method. Also obtain the estimated coverage probabilities and average widths of the bootstrap confidence intervals through Monte Carlo simulation. Illustrate the process capability indices for EFD using some numerical examples.Item Double-acceptance sampling plan for exponentiated fréchet distribution with known shape parameters(Hindawi, 2021) Babu, M. Sridhar; Rao, G. Srinivasa; Rosaiah, K.We suppose that a product’s lifetime follow the exponentiated Fréchet distribution of defined shape parameters. Based on this assumption, a double-acceptance sampling plan is constructed. The zero and one failure framework is essentially thought of: if no errors are found from the first sample, then the lot is approved; also, if at least two failures occur, it is rejected. In the first sample, if one failure is observed, then the second sample is taken and decided for the same length as the first one. The cumulative sample sizes of the first and second samples are determined on the basis of the stated confidence level of the consumer to ensure that the actual median is longer than the given life. As indicated by the various ratios of the actual median life to specified median lifetime, the operating characteristics are calculated and placed in presented tables. To decrease the risk of the producer at the predefined level, the minimum ratios of this sort are additionally obtained. Lastly, examples are provided for representation reasons for the proposed model.Item An economic reliability test plan for exponentiated half logistic distributed lifetimes(International Journal of Statistics and Applied Mathematics, 2020) Naidu, Ramesh CH; Rao, Srinivasa G.; Rosaiah, K.The exponentiated half logistic distribution introduced by Cordeiro et al. (2014) is a probability model for the life time of an item. A submitted lot will be accepted or rejected based on the sampling plans where items are to be tested and for collecting the life of items, these plans are called reliability test plans. The present reliability test plan is more desirable than similar plans exists in literature is entrenched with respect to termination time of the experiment. For a range of stated acceptance number we determine the minimum life test termination time, sample size, and producer’s risk.Item An economic reliability test plans for odd generalized exponential log–logistic distribution(Indian Association for Reliability and Statistics (IARS), 2020) Rosaiah, K.; Rao, Srinivasa G.; Sivakumar, D.C.U.; Kalyani, K.Odd generalized exponential log-logistic distribution introduced and studied quite extensively by Rosaiah et al. (2016) is considered as a probability model for the lifetime of products. In this article, the sampling plans are developed for percentile lifetimes using two approaches. In approach–I, minimum sample size necessary to ensure a specified percentile lifetime is determined based on the termination time and acceptance number along with operating characteristic values and producer’s risk. In approach-II, by fixing the number of failures, we determine the life test termination time along with operating characteristic values. The sampling plans constructed using two approaches are compared with respect to life test termination time.Item Group acceptance sampling plan for resubmitted lots based on life tests for odds exponential log logistic distribution(Emerald Publishing Limited, 2017) Rosaiah, K.; Gadde, Srinivasa Rao; Sivakumar, Kalyani K.Purpose – The purpose of this paper is to develop a group acceptance sampling plan (GASP) for a resubmitted lot when the lifetime of a product follows odds exponential log logistic distribution introduced by Rao and Rao (2014). The parameters of the proposed plan such as minimum group size and acceptance number are determined for a pre-specified consumer’s risk, number of testers and the test termination time. The authors compare the proposed plan with the ordinary GASP, and the results are illustrated with live data example. Design/methodology/approach – The parameters of the proposed plan such as minimum group size and acceptance number are determined for a pre-specified consumer’s risk, number of testers and the test termination time. Findings – The authors determined the group size and acceptance number. Research limitations/implications – No specific limitations. Practical implications – This methodology can be applicable in industry to study quality control. Social implications – This methodology can be applicable in health study. Originality/value – The parameters of the proposed plan such as minimum group size and acceptance number are determined for a pre-specified consumer’s risk, number of testers and the test termination time.Item Group acceptance sampling plans for resubmitted lots under exponentiated Fréchet distribution(Inderscience, 2019) Rao, G. S.; Rosaiah, K.; Babu, M. S.In quality control, we used to develop different types of sampling plans to ensure the quality of product lifetime. In this paper, we develop a group acceptance sampling plan (GASP) for lot resubmitting, to ensure the quality of product lifetime assuming that the product lifetime follows the exponentiated Fréchet distribution. The GASP parameters are determined by satisfying the specified producer's and consumer's risks according to the experiment termination time and the number of testers. We compare the proposed plan with the ordinary group sampling plan and found that the proposed plan requires less sample size. Two examples are used for illustration.Item New Acceptance sampling plans based on percentiles for type-II generalized log logistic distribution(Science and Education Publishing, 2019) Rosaiah, K.; Prasad, S. V. S. V. S. V.; Rao, Srinivasa G.This article describes the development of an acceptance sampling plan based on percentiles for Type-II generalized log-logistic distribution (TGLLD) introduced by Rosaiah et. al. [1]. The plan is developed by considering the lifetime percentiles as a variable and the life test will be terminated at a pre-specified time. The objective of the test is to determine the minimum sample size required to achieve a specific lifetime percentile at an acceptable level of consumer and producer risks. Determined the OC values and are presented along with producer risks. The sustainability of the plan is illustrated with real data set.Item Odd generalized exponential log logistic distribution: a new acceptance sampling plans based on percentiles(Multidisciplinary Digital Publishing Institute, 2019) Rao, Gadde Srinivasa; Rosaiah, K.; Sivakumar, D. C. U.; Kalyani, K.In this paper, acceptance sampling plans are developed for the odd generalized exponential log logistic distribution based on percentiles when the life test is truncated at a pre-specified (pre-determined) time. The minimum sample size necessary to ensure the specified life percentile is obtained under a given consumer’s risk. The operating characteristic values of the sampling plans as well as the producer’s risk are presented. One example with real data set is also given as an illustration.Item A time-truncated two-stage group acceptance sampling plan for odds exponential log-logistic distribution(Springer, 2019) Rao, Srinivasa G.; Kalyani, K.; Rosaiah, K.; Sivakumar, D. C. U.In this article, two-stage group acceptance sampling plan is developed assuming that the lifetime of the test units follows odds exponential log-logistic distribution and the life test is terminated at a prefixed time. The acceptance of the lot mainly depends on the number of failures observed from each group either in the first or second stage of sampling. We examine the quality of organizations necessary for each of the two stages of the proposed lifetime distribution as to slash the average sample number under the satisfactory constraints of producer’s and consumer’s risk together. The proposed plan is compared with the single-stage group acceptance sampling plan as a special case in terms of the average sample number and the operating characteristics.Item A two-stage group sampling plan based on truncated life tests for an odd generalized exponential log-logistic distribution(SCIENCEDOMAIN international, 2019) Sivakumar, D. C. U.; Rao, Srinivasa G.; Rosaiah, K.; Kalyani, K.In this article, a time truncated life test based on two-stage group acceptance sampling plan is proposed for lifetime of an item follows odd generalized exponential log-logistic distribution (OGELLD). The ability about the lot acceptance can be made in the first or second stage according to the number of failures from each group. The optimal parameters for the proposed plan are determined such that both producer’s as well as consumer’s risks are contented simultaneously for the specified unreliability when group size and test duration are specified. The efficiency of the proposed sampling plan is evaluated in terms of average sample number with the existing sampling plan. The results are explained with the help of industrial example. Using exploratory data analysis and then goodness-of-fit, we show a rough indication of the goodness of fit for our model by plotting the superimposed for the data shows that the OGELLD is a good fit and also it is emphasized with Q-Q plot, displayed in Fig. 1. We observed from the tables / results that the number of groups required decrease as the group size increases from r 3 to 5 and also the. ASN increases marginally, sample size decreases as the group size increases, which indicates that a larger group size may be more economical and it reduces the experimental time and cost. We proposed two-stage group acceptance sampling plan, since it performs much better in terms of the average sample number (ASN) and the operating characteristics than in single-stage group acceptance sampling plan. The advantage of two stage group sampling plan is that it reduces the average sample number (ASN) as compared to the GASP.