Inference for Step-Stress Partially Accelerated Life Test Model with an Adaptive Type-I Progressively Hybrid Censored Data

Consider estimating data of failure times under step-stress partially accelerated life tests based on adaptive Type-I hybrid censoring. The mathematical model related to the lifetime of the test units is assumed to follow Rayleigh distribution. The point and interval maximum-likelihood estimations are obtained for distribution parameter and tampering coefficient. Also, the work is conducted under a traditional Type-I hybrid censoring plan (scheme). A Monte Carlo simulation algorithm is used to evaluate and compare the performances of the estimators of the tempering coefficient and model parameters under both progressively hybrid censoring plans. The comparison is carried out on the basis of mean squared errors and bias

On the Use of Randomization Device for Estimating the Proportion and Truthful Reporting of a Qualitative Sensitive Attribute

In this paper, a simple and obvious procedure is presented that allows to estimate  the population proportion Pi possessing sensitive attribute using simple random sampling with replacement (SRSWR). In addition to T, the probability that a respondent truthfully states that he or she bears a sensitive character when experienced in a direct response survey. An efficiency comparison is carried out to investigate in the performance of the proposed method. It is found that the proposed strategy is more efficient than Warner’s (1965) as well as Huang’s (2004) randomized response techniques under some realistic conditions. Numerical illustrations and graphical representations are also given in support of the present study.Â

Clinical Profile of hemorrhagic stroke and validation of ICH score in Kashmiri population

Background: Intracerebral hemorrhage is the second most common subtype of stroke after ischemic stroke and accounts for approximately 10 % to 20 % of all strokes worldwide. In contrast, hemorrhagic stroke in our Kashmir valley accounts for around 65%. Objective: To look for detailed clinical profile and 30 day mortality, and correlate with ICH score, in our population. Study design and Methods: In this hospital based prospective study, All patients of spontaneous intracerebral hemorrhage admitted over a period of 2 years were enrolled. All clinical and lab parameters were recorded. ICH score (which includes Age, GCS, ICH volume, ICH location, and Intraventricular hemorrhage) was calculated at initial assessment. Patients were followed for 1 month to look for 30 day mortality and correlate with ICH score. Observations: Intracerebral hemorrhage constituted 51% of stroke patients after excluding SAH. Mean age of patients was 61.66±12.57 years. There was male preponderence (64%). Major risk factors present include Hypertension (96%), smoking (47%). DM (10.1%), previous stroke (11.3%), Family history (29.2%) and Anticoagulant use (0.85%).Most common site involved was Putamen (46.5%) followed by thalamus (27.8%) and lobar hemorrhage (14.6%). Around 65% patients developed systemic complications including Electrolyte disturbances and infections. Mortality at 30 days in our study was 36.2%. Thirty-day mortality rates for patients with ICH Scores 0f 0, 1, 2,3,4,5 were 0.7%, 4.5%, 17.3%, 62.0%, 94.6% and100.0% respectively. Plotting ICH score ROC curves demonstrated an area under the curve of 0.896, compared to 0.92 for the original ICH score cohort. Conclusion: Hemorrhagic stroke is still predominant stroke type in Kashmir valley. ICH score is an accurate marker to predict 30 day mortality in our population

New Randomized Response Procedure for Finding Optimal Solution Using Branch and Bound Method

The crux of this paper is to consider a randomized response model using stratified random sampling based on Singh and Gorey (2017). In this paper the problem of optimal allocation in stratified random sampling where randomized response technique is used in presence of non response. The problem is formulated as a Nonlinear Programming Problem (NLPP) and is solved using Branch and Bound method. Also the results are formulated through LING

CSF Neurofilament-H Levels as a Potential Section Prognostic Marker in Patients of GuillainBarré Syndrome- A Cohort Study

Introduction: The prognosis of Guillain-Barré Syndrome (GBS) at an early stage with explicit biomarkers is critical to distinguish patients with possibility of poor recovery. Cerebrospinal Fluid (CSF) serves as an impending source for biomarkers that portrays the exact biochemical changes. Aim: To find out if there is any prognostic value of high CSF phosphorylated Neurofilament Heavy subunit (pNf-H) levels, measured during first two weeks of onset of GBS, as assessed by the level of disability at six months after the onset of GBS. Materials and Methods: The cohort study was conducted in the Department of Neurology and Department of Immunology and Molecular Medicine, at the Sher-I-Kashmir Institute of Medical Sciences, Soura, Srinagar, Jammu and Kashmir, India, over a period of two years from August 2015 to August 2017. Sixty two patients who satisfied the required diagnostic standards for GBS (study group) and 35 patients with tension-type headache (control group) were selected for the study. After clinical and electrophysiological assessment, CSF samples were collected. A commercially available sandwich enzyme immunoassay kit, manufactured by BioVendor-Laboratorní medicína (Czech Republic), was used for measuring human pNf-H quantitatively. Results: Mean CSF pNf-H level in patients with good outcome was 325.3 pg/mL whereas, in patients with poor outcome it was 3655.2 pg/mL. CSF pNf-H levels were found to be suggestively higher in GBS patients with poor outcome as compared to those with good outcome. Only eight patients in good outcome group had pathologically high CSF Nf-H levels whereas 10 patients in poor outcome group had CSF Nf-H levels ≤730 pg/mL. The odds ratio was 17.1 (95% Confidence Interval (CI) 3.83-76.29). Thus, high CSF Nf-H levels on admission predicted poor outcome in GBS (p-value <0.001). Moderate degree of positive correlation was found between CSF Nf-H levels and outcome (F score) at six months (R=0.684; p-value <0.001). Conclusion: It can be determined that higher values of CSF pNf-H in GBS (acute stage), could serve as a predictive marker indicative of poor prognosis

A New-Fangled Ratio-Type Exponential Estimator for Population Variance using Auxiliary Information

This manuscript provides new exponential ratio type estimator in simple random sampling for estimating the population variance using auxiliary information. The key purpose of this paper is to propose a new estimator and to increase the efficiency of the estimator for the population variance. The proposed exponential product-type estimator’s bias and mean square error expressions have been derived. The optimum value of the characterizing scalar has been found, which minimizes the MSE of the proposed estimator. The proposed estimator was theoretically compared to competing estimators. It is shown that the proposed estimator outperforms its competitors. To demonstrate the practical use of different estimation formulae and empirically demonstrate the efficiency of the constructed estimators, a numerical analysis is conducted using real data sets

Effects of Factors on the Market Price of the Shares Using Design of Experiment

When the cost of capital, dividends and the price of the share at the beginning is known, Modigliani and Miller’s model can be used to estimate the price of the share at the end of the period. A design of experiment (Taguchi’s orthogonal array) is used in order to investigate the impact of three parameters on the price of the share at the end of the period. The main aim of this research article is to find which parameter is more significant on the price of the share at the end of the period. Taguchi’s methodology of design of the experiment is used for the experimental setup and to optimize the factors for the value of shares. In this study, the optimal combination of input factors is sought for the first time using the Taguchi method. To explore the effects of input factors, the Taguchi method L9 design of experiment (DOE), analysis of variance (ANOVA), regression analysis, and analysis of mean (ANOM) are used and the analysis is carried out using MINITAB 18 software. The ANOM is used to check the best optimal combination among the parameters where the value of the share is maximum, also it measures which parameter impacts more on the price of the share at the end of the period. ANOVA is used to measure the percentage contribution of each parameter on the price of the share

Bayesian Analysis and Reliability Estimation of Generalized Probability Distributions

This edited volume entitled “Bayesian Estimation and Reliability Estimation of Generalized Probability Distributions” is being published for the benefit of researchers and academicians. It contains ten different chapters covering a wide range of topics both in applied mathematics and statistics. The proofs of various theorems and examples have been given with minute details. During the preparation of the manuscript of this book, the editor has incorporated the fruitful academic suggestions provided by Dr. Peer Bilal Ahmad, Dr. Sheikh Parvaiz Ahmad, Dr. J. A. Reshi, Dr. Tanveer Ahmad Tarray, Dr. Kowsar Fatima, Dr. Ahmadur Rahman, Dr. Showkat Ahmad Lone, Mudasir Sofi, Uzma Jan, Aaliya Syed, and Dr. Humaira Sultan. It is expected to have good popularity due to its usefulness among its readers and users