UDOM IR :: Browsing by Author "Rao, Srinivasa G."

Browsing by Author "Rao, Srinivasa G."

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Bootstrap confidence intervals of the modified process capability Index for weibull distribution
(Springer, 2017) Kashif, Muhammad; Aslam, Muhammad; Rao, Srinivasa G.; AL-Marshadi, Ali Hussein; Jun, Chi-Hyuck
The objective of the paper is to modify the existing process capability index (PCI) for a Weibull distribution and to construct bootstrap confidence intervals (BCIs) for the newly proposed index. Three BCIs that consist of standard, percentile and bias-corrected percentile bootstrap (BCPB) confidence intervals are constructed for the newly proposed index and the existing Pearn and Chen index. The efficiency of the newly proposed index CGPK is compared with Pearn and Chen index using their coverage probabilities and average widths. The coverage probabilities and average width of three BCIs were calculated using Monte Carlo simulation studies. The newly proposed index shows better performance than Pearn and Chen index. The results indicate that BCPB confidence interval was more efficient in both cases and outperform other two confidence intervals in all situations. The comparison of average width of BCPB apparently shows that the proposed index performed better in all cases. A real-life example is also provided for a practical application.
A control chart for multivariate poisson distribution using repetitive sampling
(Taylor and Francis Group, 2016) Aslam, Muhammad; Rao, Srinivasa G.; Ahmad, Liaquat; Jun, Chi-Hyuck
Control charts using repetitive group sampling have attracted a great deal of attention during the last few years. In the present article, we attempt to develop a control chart for the multivariate Poisson distribution using the repetitive group sampling scheme. In the proposed control chart, the monitoring statistic from the multivariate Poisson distribution has been used for the quick detection of the deteriorated process to avoid losses. The control coefficients have been estimated using the specified in-control average run lengths. The procedure of the proposed control chart has been explained by using the real-world example and a simulated data set. It has been observed that the proposed control chart is an efficient development for the quick detection of the nonrandom change in the manufacturing process.
Demographic factors influencing the prevalence of H.I.V/AIDS in Mbeya region of Tanzania.
(Tehran University of Medical Sciences, 2018) Noel, M.E.; Rao, Srinivasa G.
Background & Aim: The study was conducted in the aim to figure out the demographic factors that fueling prevalence of H.I.V/AIDS in 2011/12-Mbeya region. The demographic data of the cross-sectional years 2011/12 was used. The study encompassed male and female individuals aged 15-49. Methods & Materials: The binary logistic regression model was used employed and demographic factors that were considered to have an impact on the prevalence of the epidemic were included in our analysis. Results: The result shows that demographic variables had significant effect on the prevalence of H.I.V/AIDS in the year 2011/12-Mbeya region for all respondents. However, except for male circumcision for male individuals, polygamous, travelers and pregnancy status for female individuals, the demographic parameters such as respondent age, respondent sex, paid sex (commercial sex) and unsafe sex had significant effect on the prevalence of H.I.V/AIDS in the year 2011/12 in Mbeya region and female were the most affected individuals compared to male individuals. H.I.V infection was highly prevalent in urban areas than rural areas. As compared to other previous studies, a shift of the epidemic from rural areas to urban areas, and from young age (15-24) to middle age group (30-39). Conclusion: To prevent further prevalent of H.I.V/AIDS a substantial number of those infected present with AIDS related symptoms and may be in need of ART. As a comprehensive response, prevention efforts should be intensified to target and addresses identified transmission parameters and include individuals of all ages. In urban areas, commercial sex workers should be targeted to capture those at risk of H.I.V infection. Concurrent attempts to expand access to treatments and care for those infected in urban and rural areas are needed as this will increase opportunity for prevention. Safe sex should be insisted by providing people with protective measures and then insisting them to use it regularly
Design of chart for a birnbaum saunders distribution under accelerated hybrid censoring
(Taylor & Francis., 2018) Khan, Nasrullah; Rao, Srinivasa G.; Aslam, Muhammad
In this manuscript, attribute control chart for the Birnbaum Saunders distribution under the accelerated hybrid censoring is studied. We planned a new control chart is based on accelerated factor. The necessary measures to evaluate the performance of proposed control chart are given. The parameters of proposed control chart are determined such that the conditions are meet for average run length for in-control and shifted process. The average run length is used to study the performance of proposed control chart with the traditional Shewhart attribute control chart. An example is also given for demonstrate proposed method.
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.
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.
The efficacy of process capability indices using median absolute deviation and their bootstrap confidence intervals
(Springer, 2017) Kashif, Muhammad; Aslam, Muhammad; Jun, Chi-Hyuck; Al-Marshadi, Ali Hussein; Rao, Srinivasa G.
The process capability indices (PCIs) Cp and C pk are commonly used in industry to measure the process performance.The implementation of these indices required that process should follow a normal distribution. However, in many cases the underlying processes are non-normal which influence the performance of these indices. In this paper, median absolute deviation (MAD)is used as a robust measure of variability in two PCIs, Cp and Cpk . Extensive simulation experiments were performed to evaluate the performance of MAD-based PCIs under low, moderate and high asymmetric condition of Weibull, Log-Normal and Gamma distributions. The point estimation of MAD-based estimator of Cp and Cpk is encouraging and showed a good result in case of Log- Normal and Gamma distributions, whereas these estimators perform very well in case of Weibull distribution. The comparison of quantile method and MAD method showed that the performance of MAD-based PCIs is better for Weibull and Log-Normal processes under low and moderate asymmetric conditions, whereas its performance for Gamma distribution remained unsatisfactory. Four bootstrap confidence intervals (BCIs) such as standard (SB), percentile (PB), bias-corrected percentile (BCPB) and percentile-t (PTB) were constructed using quantile and MAD methods under all asymmetric conditions of three distributions under study. The bias-corrected percentile bootstrap confidence interval (BCPB) is recommended for a quantile (PC)-based PCIs, whereas CIs were recommended for MAD-based PCIs under all asymmetric conditions of Weibull, Log-Normal and Gamma distributions. A real-life example is also given to describe and validate the application of proposed methodology.
Estimation of reliability in a multicomponent stress–strength system for the exponentiated moment-based exponential distribution
(Multidisciplinary Digital Publishing Institute, 2019) Rao, Srinivasa G.; Bhatti, Fiaz Ahmad; Aslam, Muhammad; Albassam, Mohammed
A multicomponent system of k components with independent and identically distributed random strengths X 1, X 2 , … X k , with each component undergoing random stress, is in working condition if and only if at least s out of k strengths exceed the subjected stress. Reliability is measured while strength and stress are obtained through a process following an exponentiated moment-based exponential distribution with different shape parameters. Reliability is gauged from the samples using maximum likelihood (ML) on the computed distributions of strength and stress. Asymptotic estimates of reliability are compared using Monte Carlo simulation. Application to forest data and to breaking strengths of jute fiber shows the usefulness of the model.
Estimation of reliability in multicomponent stress–strength based on two parameter exponentiated weibull distribution
(Taylor and Francis Group, 2017) Rao, Srinivasa G.; Aslam, Muhammad; Arif, Osama H.
In this research article, we estimate the multicomponent stress–strength reliability of a system when strength and stress variates are drawn from an exponentiated Weibull distribution with different shape parameters α and β, and common shape and scale parameters γ and λ, respectively. We estimate the parameters by using maximum likelihood estimation (MLE) and hence the estimate of reliability obtained applying the MLE method of estimation when samples are drawn from stress and strength distributions. The small sample comparison of the reliability estimates is made through Monte Carlo simulation.
Group acceptance sampling plans for resubmitted lots for life tests based on half logistic distribution
(Renmin University of China, 2014) Rao, Srinivasa G.; Rao, Srinivasa B.
In this article, a Half Logistic Distribution (GASP) for lot resubmitting is developed to ensure quality of the product lifetime assuming that the product’s lifetime follows the half logistic distribution. The parameters of the GASP are determined by satifying the specified producer’s and consumer’s risks according to the experiment termination time and the number of testers. A comparison between this proposed group sampling and the ordinary group sampling plan is discussed. This proposed plan is justified with an illustration.
Marshall–Olkin Power Lomax distribution for modeling of wind speed data
(Elsevier Ltd, 2020) Ahsan ul Haq, Muhammad; Rao, Srinivasa G.; Albassam, Mohammed; Aslam, Mohammed
Accurate collection of wind speed records is significant for numerous wind power applications. The present investigation aims to highlight the use of the Marshall–Olkin Power Lomax (MOPLx) distribution for wind speed data. We examine the actual wind speed records gathered from three stations Bahawalpur, Gwadar, and Haripur. The dataset is demonstrated by using MOPLx distribution and compare its modeling performance with renowned probability distributions, forexample, Weibull–Lomax, power Lomax, Weibull, power Lindley, Lindley, and Lomax. Findings indicate that MOPLx distribution gives the best fitting as per model evaluation criteria, Akaike information criterion (AIC), Bayesian information criterion (BIC), Kolmogorov Smirnov test (KS), coefficient of determination (R2)and root mean square error (RMSE). Overall, the results demonstrate the feasibility, precision, and effectiveness of the MOPLx distribution for portraying wind speed modeling. It is also observed that the MOPLx model is ideal in terms of the power density error (PDE) criterion.
Monitoring circuit boards products in the presence of indeterminacy
(Elsevier Ltd, 2021) Aslam, Muhammad; Rao, Srinivasa G.; Shafqat, Ambreen; Liaquat, Ahmad; Rehan, Shwerani
In this article a repetitive group sampling control has been introduced for the neutrosophic statistics under the Conway-Maxwell-Poisson (COM-Poisson) distribution. The suggested chart has been compared with the existing plan using simulated data generated from neutrosophic COM-Poisson distribution. The practical implementation of the suggested chart has also been expounded using the data from the manufacturing of the electric circuit boards. Overall, the results demonstrate that the suggested chart will be a proficient addition in the control chart literature. It is also observed that the suggested chart is an ideal chart when applied under appropriate conditions.
Monitoring circuit boards products in the presence of indeterminacy
(Elsevier, 2021) Aslam, Muhammad; Shafqat, Ambreen; Ahmad, Liaquat; Sherwani, Rehan Ahmad Khan; Rao, Srinivasa G.
In this article a repetitive group sampling control has been introduced for the neutrosophic statistics under the Conway-Maxwell-Poisson (CoM-Poisson) distribution. The suggested chart has been compared with the existing plan using simulated data generated from neutrosophic COM-Poisson distribution. The practical implementation of the suggested chart has also been expounded using the data from the manufacturing of the electric circuit boards. Overall, the results demonstrate that the suggested chart will be a proficient addition in the control chart literature. It is also observed that the suggested chart is an ideal chart when applied under appropriate conditions.
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.
Resubmitted lots with single sampling plans by attributes under the conditions of zero-inflated poisson distribution
(Taylor and Francis Group, 2017) Rao, Srinivasa G.; Aslam, Muhammad
For a well-monitored process, occurrence of nondefect is a frequent event sampling inspection. A suitable model for this situation is a zero-inflated Poisson (ZIP) distribution. In this manuscript, we will focus on the designing of a more flexible sampling plan called the resubmitted lots plan. The parameters of the proposed sampling plan are determined through the nonlinear optimization solution. The advantage of the proposed plan over the existing sampling in terms of average sample number is discussed. An example is given for the illustration purpose.
Single‑stage and two‑stage total failure‑based group‑sampling plans for the Weibull distribution under neutrosophic statistics
(Springer, 2021) Aslam, Muhammad; Rao, Srinivasa G.; Khan, Nasrullah
If the sample or population has vague, inaccurate, unidentifed, defcient, indecisive, or fuzzy data, then the available sampling plans could not be suitable to use for decision-making. In this article, an improved group-sampling plan based on time truncated life tests for Weibull distribution under neutrosophic statistics (NS) has been developed. We developed improved single and double group-sampling plans based on the NS. The proposed design neutrosophic plan parameters are obtained by satisfying both producer’s and consumer’s risks simultaneously under neutrosophic optimization solution. Tables are constructed for the selected shape parameter of Weibull distribution and various combinations of neutrosophic group size. The efciency of the proposed group-sampling plan under the neutrosophic statistical interval method is also compared with the crisp method grouped sampling plan under classical statistics.
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.
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.
Two-stage sampling plan using process loss index under neutrosophic statistics
(Taylor & Francis, 2019) Rao, Srinivasa G.; Aslam, Muhammad; Khan, Nasrullah; Ahmad, Liaquat
This article develops the designing of two-stage process loss using neutrosophic statistics (NS). The neutrosophic operating characteristic for the two-stage sampling is developed under NS. Neutrosophic plan parameters are obtained using non-linear optimization using the neutrosophic statistical interval method for the constraints. A comparative study is carried out with the existing scheme. Some tables are provided and explained with an example under uncertainty.
A variable sampling plan using generalized multiple dependent state based on a one-sided process capability index
(2019) Rao, Srinivasa G.; Aslam, Muhammad; Jun, Chi-Hyuck
In this manuscript, a sampling plan based on one-sided process capability index is designed using the generalized multiple dependent state (GMDS) sampling. The operating characteristic function is developed using the exact distribution of the estimated PCI. The plan parameters of the proposed sampling plans are determined through the non-linear optimization problem at specified producer’s risk and consumer’s risk. An example is reported with the help of real data from the industry. The efficiency of the proposed sampling plan is compared with the existing multiple dependent state (MDS) sampling in terms of sample size.

Browsing by Author "Rao, Srinivasa G."

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