ABSTRACT
This paper offers a novel approach to formulate efficient ratio estimator of the population variance using a transformed auxiliary variable. The impact of transformation on auxiliary information has also been discussed. It is observed that incorporating a transformed auxiliary variable result in a high gain in efficiency. Theoretical properties of the newly developed estimators have been derived. The empirical and simulation studies show that the suggested estimators outperformed the existing estimators.
ABSTRACT
In this paper, we produced a new family of distribution called Gull Alpha Power Family of distributions (GAPF). A Special case of GAPF is derived by considering the Weibull distribution as a baseline distribution called Gull Alpha Power Weibull distribution (GAPW). The suitability of the proposed distribution derives from its ability to model both the monotonic and non-monotonic hazard rate functions which are a common practice in survival analysis and reliability engineering. Various statistical properties were derived in addition to their special cases. The unknown parameters of the model are estimated using the maximum likelihood method. Moreover, the usefulness of the proposed distribution is supported by using two real lifetime data sets as well as simulated data.
Subject(s)
Biometry/methods , Probability Theory , Statistical Distributions , Algorithms , Animals , Data Interpretation, Statistical , Humans , Likelihood Functions , Models, Statistical , Reproducibility of Results , Survival Analysis , Time FactorsABSTRACT
In this paper, a new modification of the Lomax distribution is considered named as Lomax exponential distribution (LE). The proposed distribution is quite flexible in modeling the lifetime data with both decreasing and increasing shapes (non-monotonic). We derive the explicit expressions for the incomplete moments, quantile function, the density function for the order statistics etc. The Renyi entropy for the proposed distribution is also obtained. Moreover, the paper discusses the estimates of the parameters by the usual maximum likelihood estimation method along with determining the information matrix. In addition, the potentiality of the proposed distribution is illustrated using two real data sets. To judge the performance of the model, the goodness of fit measures, AIC, CAIC, BIC, and HQIC are used. Form the results it is concluded that the proposed model performs better than the Lomax distribution, Weibull Lomax distribution, and exponential Lomax distribution.
Subject(s)
Models, Statistical , Statistical Distributions , Carbon Fiber/chemistry , Computer Simulation , Entropy , Likelihood Functions , Stress, Mechanical , WindABSTRACT
Background Unlicensed and off-label prescribing practice is global dilemma around the world. This pioneering study was designed to determine unlicensed and off-label use of drug in surgical wards of tertiary care hospitals of Pakistan. Objective To assess unlicensed and off-label use of drugs in pediatric surgical unit at three tertiary care hospitals in Peshawar, Pakistan. Setting Two government and one private tertiary care hospitals in Pakistan. Method Drug profiles of 895 patients from three different clinical settings were evaluated for unlicensed and off-label use of drugs using Micromedex DRUGDEX. Main outcome measure Characteristics of the unlicensed and off-label drug prescriptions. Result Total of 3168 prescribed drugs were analyzed in this study. Indication (38.7%) and dose (34.8%) were the most frequent off-label categories. In comparison with the corresponding reference categories, infants and children, male patients and having less than five prescribed drugs were significant predictors of unlicensed prescriptions. In comparison with the corresponding reference categories, significant predictors of off-label drug prescribing were children younger than two year, children between 2-12 years, patient staying at hospital less than 5 days and patients having less than five prescribed drugs. Conclusion The prevalence of unlicensed and off-label drug prescriptions are high at pediatric surgical ward of tertiary care hospitals. More awareness of the efficacy and safety of drugs are required in pediatrics. In addition, new formulations with advanced dosing for children are also required to minimize the risk of adverse outcomes.
