M.Phil / MS

Permanent URI for this collectionhttps://repository.cuilahore.edu.pk/handle/123456789/63

This collection archives the complete set of theses produced by students of the COMSATS University Islamabad, Lahore Campus.

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Start date: 2020End date: 2025

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    Control Charts for new Reflected Pareto Distribution
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2021) Huma Khalid; FA19-RST-007; Dr. Riffat Jabeen; LHR TP 7203
    Pareto distribution has vast application in different fields of medical and engineering sciences. In this thesis, we have proposed a new Reflected Pareto Distribution (RPD) using Cohen (1973) to reflect the parameter of distribution. We derive different mathematical properties such as mean, variance, rth moment. Reliability measures are also discussed including Survival Function, Hazard function and reversed hazard function. The method of Maximum Likelihood Estimator and Modified maximum likelihood estimator is used to estimate the model parameters. We used three different data sets to show the performance of Reflected Pareto distribution over already existing probability distributions. We also construct the control charts to monitor the shape parameter for reliability processes using Shewhart control chart and Exponentially weighted moving averages control chart. We compare the performance of maximum likelihood estimator and modified maximum likelihood estimator for the shape parameter of Reflected Pareto distribution.
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    An extended Marshall-Olkin simulated Pareto-exponential distribution: development, properties and application
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2021) Fazia Shahid; FA19-RST-002; Dr. Muhammad Mohsin; LHR TP 7204
    Marshal-Olkin simulated Pareto-exponential distribution (MOSPED) is a new distribution developed from simulated Pareto-Exponential distribution (SPED) by using Marshal-Olkin technique. SPED is a special distribution which emerges out as a marginal distribution of Bivariate Affine-Linear Exponential (BALE) distribution by Mohsin et al. (2014) without adopting any procedure. Some mathematical properties of the proposed distribution including moments, mean variance, incomplete moments are discussed along with its characterization. The reliability analysis of MOSPED comprising survival function, hazard function, reversed hazard function along with different types of entropies such as Renyi entropy, β-entropy and γ-entropy are presented. We also develop and discuss the distributions of series as well as parallel systems for the proposed distribution to observe the performance of each component in the product. Moreover, we estimate the unknown parameters of our model, parallel system and series system by using the method of maximum likelihood estimation for each distribution. A simulation study is performed to observe the stability and consistency of the model parameters. The application of the MOSPED is presented by using three real life data sets and its comparison with some baseline distributions is given on the basis of log-likelihood, AIC and BIC.
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    On Extended Exponential Weighted Moving Average Control Charts for Monitoring Mean of a Process
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2020) Aqsa Hussain; SP19-RST-001; LHR TP 6535; Dr. Aamir Sanaullah
    In chapter 1, the introduction about statistical process control, control charts and use of auxiliary information in control charts has been explained. Further in chapter 1, objectives of control charts also described. Objectives of the proposed study explained in chapter 1. In chapter 2, literature about some existing EWMA-type control charts has been provided. Various works of EWMA-type control charts using auxiliary information have also been specified in chapter 2. In chapter 3, an extended-EWMA control chart by Naveed et al. (2018) has been discussed. Further a EWMA control chart based on the auxiliary variable due to Abbas et al. (2014) for mean has been deliberated. In chapter 4, we are working on EEWMA control chart by using an auxiliary information for improving the efficiency of an extended-EWMA control chart due to Naveed et al. (2018), and then comparison of the proposed EEWMA with the existing EEWMA and EWMA control charts is presented. In chapter 5, we propose EEWMA sub-group mean control charts for mean with or without using auxiliary information to detect smaller shifts earlier. Comparison with the previous control charts is also done in this chapter. Finally it is shown that the proposed EEWMA control charts are more efficient as compare to the existing control charts of literature
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    Some Properties, Characterization and an Application of Mittag-Leffler type Poisson distribution
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2020) AYESHA ISRAR; SP19-RST-006; LHR TP 6537; Dr. Muhammad Mohsin
    Probability distributions analyze the complex phenomena in a comprehensive way and provide the possible solutions of the understudy problem. The characteristics of a probability distribution describe its behavior and check its compatibility for modeling the data. The present research involves an extensive study of Mittag-Leffler type Poisson (MLTP) distribution developed by Porwal and Dixit (2017). They used Mittag-Leffler function, a mathematical function/series, to develop a new probability distribution. This function has been extensively used in the fields of mathematics, engineering, medical and social sciences. Some mathematical properties of the MLTP distribution are discussed. Graphical representation of MLTP distribution is provided for different values of the parameters. The moment generating function, characteristic function and order statistic are also studied. Characterizations for the sum of the random variables are presented. The distributions of product and ratio of two MLTP random variables are derived. In addition, the estimates of unknown parameters of MLTP distribution are obtained by using the method of maximum likelihood estimation. The MLTP distribution is applied to three real life data sets from the medical field. The log-likelihood values, AIC and BIC of the present model are compared with those of some other distributions extant in the literature.
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    Development of Modified MaxAEWMA Control Chart based on Auxiliary Information
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2021) Zainab Manzoor; SP19-RST-004; LHR TP 6536; Dr. Tajammal Hussain
    Globalizations and streamlined commerce have opened the entryway of worldwide open market rivalry that changed the organization of working together. Open rivalry has an extreme impact on neighborhood market makers and worldwide firms. From the earliest starting point, quality is considered as a pre-essential definitive component to choose items or administrations. Presently days, the associations put more into observing and improving the nature of the items to draw in more clients. Besides, the basic considering purchasers has changed now they request a higher caliber of items and administrations. Walter A. Shewhart (1920) presented the idea of Statistical Quality Control (SQC), which is a coordinator of the quality control field. The crucial target of SQC is to zero in on the nature of the assembling mechanism to accomplish the most noteworthy creation quality. As per Montgomery (2009) in statistical mechanism control, each made item is not the same as one and another due to normal inborn variety, however with unnoticeable variety. The vast majority of organizations are putting resources into the quality enhancements division to decrease squandered items. The decrease in changeability builds the benefit of association and fulfillment of clients by satisfying their needs. As observed from the shopper's conduct a high variety of items is unsuitable for them, consequently, the objective of associations is to create items by stable mechanism.
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    EBIZ Lounge Private Limited
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2025) Sehar Shabbir; CIIT/FA21-BST-011/LHR; Dr. Tajammul Hussain; LHR TP 9931
    EBIZ LOUNGE (PRIVATE) LIMITED, a well-established service company with over two decades of experience, has built a strong reputation in the industry in Pakistan by consistently delivering high-quality services to its clients. The report includes an introduction to the company, along with an overview of its organizational structure, competitive strategy, and core business operations. A brief SWOT analysis is also provided, highlighting the strengths, weaknesses, opportunities, and threats facing the organization. The final section covers the responsibilities that were assigned, the knowledge gained from the experience, and some of the challenges encountered during the internship. Through the internship at EBIZ LOUNGE (PRIVATE) LIMITED, valuable exposure to the exports industry was gained. The insights and expertise acquired throughout the experience added to the professional growth, providing the opportunity to apply the knowledge learned through education.
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    Uncovering the Statistical Foundations of Bibliometric Techniques and Their Role in Exploring the Data Science Research Evolution
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2025) Aleem Ahmad; CIIT/FA23-RST-001/LHR; Dr. Tajammal Hussain; LHR TP 9872
    Sceinometric and bibliometric techniques are widely used in assessing the quality and quantity of research production in all aspects. In sceinometrics techniques, we focus on evaluating the scientific progress in all fields of science, while in bibliometrics, which is basically is a subpart of sceinometrics, we mainly focus on the quality and quantity of the research production. Both techniques are very important for finding the current research trends. These techniques are widely used by many research-funded institutions, decision makers. and the government. These help them with research funding allocations and identify the emerging research areas. These techniques are very useful in evaluating the journal impact factor, ranking universities, countries, and enhancing research efficiency. Because all research production activity creates data so these techniques are very closely related to data science. In Data Science, we collect, analyze, and process the largest sets of research data. We can find its application in every field, such as healthcare, education, and environmental studies, etc. In this study, we are focusing on the statistical foundation of bibliometric techniques and see that what is their role in exploring the data science research field. Many statistical models, such as discriminant analysis, cluster analysis, and VOSviewer software, are used for viewing the scientific landscape of this research. The present research gives us in-depth insight into the progression and evolution of data science as a prominent research field, after using advanced bibliometric techniques on the dataset of all 4424 journal articles till 31 December 2023. This study concludes that data science is evolving and has a potential research domain.
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    Some Memory Type Estimators for Population Variance in Survey Sampling
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2025) Umme Habiba; CIIT/FA23/RST/004/LHR; Dr. Riffat Jabeen; LHR TP 9874
    Reducing and estimating population variation is important in survey sampling. These variations can occur in any sampling design, including stratified random sampling. In stratified random sampling the difference in stratum weights increase the variation. This problem can be control with the use of calibration techniques, and auxiliary information. By using this technique, we can increase the accuracy and efficiency of estimator. Improving the efficiency of estimator for population variance estimation is the primary goal of this study. Both exponentially weighted moving average (EWMA) and extended exponentially weighted moving average (EEWMA) memory type statistics are used in this study to estimate population variance. EWMA use only current data whereas EEWMA use both current and past observations. The EWMA and EEWMA statistics are used to build the calibration variance and ratio estimators. The mean square errors are calculated, and the effectiveness of the estimators is illustrated through a discussion of mathematical comparisons. To assess the efficiency of the proposed memory type estimators, a simulation study is conducted and MSE are compare with existing estimators. The results show that proposed estimators are perform efficiently as compared to the existing estimators
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    Generalized Inverted Exponential Distribution: Theory and Applications
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2025) Muhammad Umar Amin; CIIT/FA22-RST-005/LHR; Dr. Mian Muhammad Farooq; LHR TP 9871
    In this research work we introduced generalization of the Inverted Exponential Distribution based on survival function. Our aim is to provide an extensive treatment of the mathematical properties of new model. The possible extension of corresponding probability density and distribution function have been derived and present. Some distributional properties of new model are discussed and order statistics have been derived. Maximum likelihood estimation (MLE) is sued to estimate the model parameters and real-life data application have also used to study the proposed model. Additionally, the study uses Bayesian estimation techniques, obtaining posterior estimates of the model parameters through the use of the Markov Chain Monte Carlo (MCMC) procedure. This method offers more accurate inference than the standard methods. Furthermore, Type-II censoring is used to evaluate the model performance, indicating its flexibility and reliability.
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    Data-Driven Sample Size Adaptation in EWMA Control Chart for Improved Monitoring
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2025) Gulmakai; CIIT/FA23-RST-002/LHR; Dr. Muhammad Noor-ul-Amin; LHR TP 9873
    Statistical Process Control (SPC) serves as a fundamental methodology for monitoring and maintaining stability in manufacturing processes. In this study, an Adaptive Sample Size-based Exponentially Weighted Moving Average (ASEWMA) control chart is proposed to enhance the detection of process shifts by dynamically adjusting the sample size in response to observed process behavior. The adaptability of the sample size enables the control chart to respond more efficiently to both small and moderate shifts while conserving computational and sampling resources when the process is stable. Further, the proposed control chart is evaluated in the presence of measurement error. The performance of the ASEWMA control chart is rigorously evaluated through extensive Monte Carlo simulations. Key performance indicators such as the Average Run Length (ARL) and Standard Deviation of Run Length (SDRL) are employed to assess its effectiveness in various shift scenarios. Comparative analyses demonstrate that the ASEWMA chart consistently outperforms traditional control charts, including the Fixed Sample Size EWMA (FEWMA) and Variable Sample Size EWMA (VEWMA), particularly in detecting small shifts in the process mean. The findings of this research highlight the ASEWMA chart’s potential to provide a practical and efficient tool for quality monitoring in industrial settings. By achieving a desirable balance between sensitivity to shifts and computational efficiency, the proposed method facilitates the timely detection of process changes while maintaining robustness under in-control conditions
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