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Home > Estimation of Covariance Matrix and Inference About Regression Coefficients and Autocorrelation in Heteroskedastic Regression Models

Estimation of Covariance Matrix and Inference About Regression Coefficients and Autocorrelation in Heteroskedastic Regression Models

Thesis Info

Access Option

External Link

Author

Hashmi, Sharqa

Program

PhD

Institute

University of the Punjab

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2019

Thesis Completion Status

Completed

Subject

Statistics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/12383/1/Sharqa%20Hashmi%20statistics%202019%20uop%20lhr%20prr.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726092128

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Beta Exponentiated Weibull distribution (BEWD) is an extension of the exponentiated Weibull distribution which involves two additional shape parameters. Interestingly, the additional parameters control the tails weights of the distribution and affect skewness and kurtosis of the distribution. The five-parameter BEWD is a generalized distribution in modelling lifetimes of various industrial products. Its density and hazard curves are widely heterogeneous in their shapes. Three subfamilies of the BEWD family emerge under three parameter subspaces with the property that the members of each subfamily display similar density curves. It is found that some members of the BEWD family in one of the parameter subspaces approximately behave like a normal distribution. BEWD assumes decreasing, increasing or a bathtub behaviour. Using a sample hazard curve, and so a prior understanding of restrictions on the BEWD parameters we find estimates of parameters for fitting BEWD. These estimates based on maximum likelihood are essentially more efficient than when no such knowledge about the sample hazard curve is used. Characterizations based on truncated moments and hazard rate function are obtained. Simulation study of BEWD is performed in both ways; without the knowledge of parametric conditions and using parametric constraints and compare the results. Real data applications of the proposed approach support the better fitting of BEWD than other models. A generalization of BEWD is introduced in which a transmuted parameter is added and its behaviour is studied, named as Transmuted Beta Exponentiated Weibull Distribution (TBEWD). Different mathematical properties including moments, characteristic function, skewness, kurtosis and mode are being discussed. The transmuted parameter affects the basic characteristics, shape of density function and other properties of BEWD. Characterizations of TBEWD based on truncated moments and hazard rate function are also derived. The maximum likelihood estimation (MLE) is used to estimate the model parameters. Simulation Study is performed to test the efficiency of MLEs. Various aspects of this distribution are explored in the context of its applications, which include its subfamilies displaying reasonable similarity with regard to their hazard curves. The parametric restrictions so discovered are found useful in fitting this distribution. A number of applications of TBEWD model are also given.
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عارف خان

عارف خان

پاکستان پیپلز پارٹی کے سنیئر رہنما اور قید وبند کی صعوبتیں برداشت کر نے والا ،شاہی قلعہ کا قید ی ،ہر تحریک میں بڑھ چڑھ کر حصہ لینے والا عارف خا ن کی 64ویں سالگرہ کی تقریب سبزہ زار میں ہوئی ۔

 

 

أجمل الصور في تناسق الآيات والسور

The most beautiful pictures in coordination of Chapters in the Holy Qur’ān. In this research I talk about the coordination in Holy Qur’ān  Chapters, so as to each Chapters contains a specific purpose that its Qur’ān ic verses want to achieve it, and we don’t see any difference or inconsistency. In order to achieve this purpose. I make an analytic study for one chapter in holy Qur’ān.I gathered the declarations of the explainers of, after that I give all my effort to show the coordination between them.

Genetic Variants in the Leptin, Leptin Receptor and Fto Genes in Obese Pakistani Population

Obesity is a global public health problem of 21 st century. Recent surveys show that the incidence of obesity has reached epidemic proportions in the world and its rate is increasing both in children and adults. It is a multi-factorial and heterogeneous condition due to complex interaction between genetic, behavioral and environmental factors. Recent reports suggest that the genetic factors play an important role in the development of obesity. A number of genetic variants in different genes have been reported to be associated with obesity in various populations. The current study was carried out to gain an insight into the role of fat mass and obesity associated gene (FTO), leptin receptor (LEPR) and leptin (LEP) gene variants in the pathophysiology of obesity in local population. A total of 394 subjects (obese=239, BMI ≥30Kg/m 2 or 95 th percentile and non-obese=155, BMI<25Kg/m 2 or 5 th -85 th percentile) between 5-45yrs of age were analyzed for Q223R, G2548A and rs9939609 variants of LEPR, LEP and FTO genes respectively, and their association with anthropometric and metabolic parameters was determined. Body weight, height, waist and hip circumference and blood pressure (BP) were measured, BMI and Waist Hip Ratio (WHR) were determined. Fasting blood glucose (FBG), insulin, leptin and leptin receptors were measured in duplicate using ELISA and HOMA-IR was calculated. DNA was extracted from the whole blood; genotyping of the polymorphisms were carried out by polymerase chain reaction-restriction fragment length polymorphism (PCR-RFLP). Data were analyzed using SPSS version 17; parameters were compared using t-test, one way ANOVA, Tukey post hoc test, Pearson test, Chi-square test, general linear model (GLM) multivariate analysis and Hardy Weinberg equilibrium test. In the present study LEP G2548A polymorphism was found to be associated with obesity in female children and adolescents (≤18years of age). Female children and adolescents carrying G allele of G2548A polymorphism were found to have 2.23 times increased risk of obesity in (95% CI=1.07–4.63). G allele of G2548A polymorphism was found to be associated with increased body weight, height, BMI, hip circumference, WHR, HOMA-IR, plasma insulin and leptin levels. No significant difference was found in genotype and allele frequencies of LEPR Q223R polymorphism between obese and non obese subjects. No association of LEPR Q223R polymorphism was observed with any of the anthropometric and metabolic traits related to obesity. FTO rs9939609 variant was found to be associated with obesity in adult females (>18years of age). Women carrying A allele of this polymorphism were found to have 2.81 times increased risk of obesity (95% CI=1.31-6.04). A allele was found to be xiiiassociated with increase in body weight, BMI, waist and hip circumference, WHR, BP, FBG, HOMA-IR, plasma insulin and leptin levels and decrease in leptin receptor levels. LEP (G2548A) variant is an important predictor for increased plasma leptin and BMI among female children and adolescents. FTO (rs9939609) variant is associated with BMI and risk of obesity in adult females, carrier of A allele had higher FBG, HOMA-IR and leptin levels independent of BMI.