Browsing by Author "Gadde, Srinivasa Rao"
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Item Application of Odd Lomax log-logistic distribution to cancer data(Elsevier BV, 2024) Kailembo, Benson Benedicto; Gadde, Srinivasa Rao; Kirigiti, Peter JosephatThe effectiveness of the parental distribution is modified in this article by adding flexibility, allowing it to capture all characteristics of the provided real-world data sets. This is accomplished by using the T-X class of distributions to generalize the parental distribution. Odd Lomax log-logistic distribution or OLLLD in short, is the name of the generalized parental distribution. The fundamental statistical properties of OLLLD are explicitly expressed. The maximum likelihood estimation approach is used to estimate the unidentified OLLLD parameters. In order to investigate the fit of the approach employed in estimating the parameters of OLLLD, the data are generated and an investigation done. Again, the ability of OLLLD is evaluated by fitting it to the real survival time data set of breast cancer.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 Multiple dependent states repetitive sampling control chart for monitoring rayleigh distributed data(Springer, 2022) Gadde, Srinivasa Rao; Adeoti, Olatunde AdebayoAn attribute control chart for Rayleigh distribution based on the multiple dependent state repetitive sampling (MDSRS) is developed in this paper. The performance of the proposed chart is evaluated in terms of average run length for the design of the proposed chart. Furthermore, the control chart constants for instance test time multiplier; inner and outer control limits coefficients are determined by considering the process in-control average run length (ARL) in support of different sample sizes. The efficiency of the proposed chart is compared with some competing control charts using other sampling methods such as single sampling (SS), multiple dependent states (MDS) and repetitive sampling (RS). The application of the proposed chart is illustrated using simulated data, which showed the superiority of the proposed chart as compared to the competing charts. Based on the ARL performance of the proposed chart and the application example, it is recommended that the process engineers use the proposed chart when monitoring the number of failed products that follow the Rayleigh distribution.Item The odd log-logistic generalized exponential distribution: Application on survival times of chemotherapy patients data(F1000Research, 2022) Fulment, Arnold K.; Gadde, Srinivasa Rao; Peter, Josephat KThe creation of developing new generalized classes of distributions has attracted applied and theoretical statisticians owing to their properties of flexibility. The development of generalized distribution aims to find distribution flexibility and suitability for available data. In this decade, most authors have developed classes of distributions that are new, to become valuable for applied researchers. This study aims to develop the odd log-logistic generalized exponential distribution (OLLGED), one of the lifetime newly generated distributions in the field of statistics. The advantage of the newly generated distribution is the heavily tailed distributed lifetime data set. Most of the probabilistic properties are derived including generating functions, moments, and quantile and order statistics. Estimation of the model parameter is done by the maximum likelihood method. The performance of parametric estimation is studied through simulation. Application of OLLGED and its flexibilities is done using two data sets and while its performance is done on the randomly simulated data set. The application and flexibility of the OLLGED are ensured through empirical observation using two sets of lifetime data, establishing that the proposed OLLGED can provide a better fit in comparison to existing rival models, such as odd generalized log- logistic, type-II generalized log-logistic, exponential distributions, odd exponential log-logistic, generalized exponential, and log-logistic.Item Reliability estimation in multicomponent stress-strength based on erlang-truncated exponential distribution(Emerald Publishing Limited, 2017) Gadde, Srinivasa RaoPurpose: The purpose of this paper is to consider the estimation of multicomponent stress-strength reliability. The system is regarded as alive only if at least s out of k (s