Department of Statistics

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Start date: 2020Subject: search.filters.subject.Statistics, computer and systems science

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    Mixed Extended Exponentially Weighted Moving Average–Cumulative Sum Charts for Process Mean Monitoring
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2021) Memoona; FA19-RST-006; Dr. Aamir Sanaullah; LHR TP 7202
    Statistical quality control (SPC) is common main technique used for examining the process’s output during production. One of its tools which is extensively used worldwide is Control charts. It helps to point out the variations in production process such as common cause and assignable cause and differentiate between them to take further action. Assignable cause occurs in the form of shifts which are the values of parameter process(s). Small, moderate and high shifts are the three categories of shifts. Two different type of charts work for different shifts. Memory-less control charts are available for large shifts monitoring whereas Memory-based control charts are useful small-moderate type shifts. However, some great researchers have formed some mixed control charts which have all types of shift detection ability by one chart such as Mixed Shewhart-CUSUM control chart. Meanwhile many studies have shown an improvement in ability of monitoring the shift in a process parameter when control charts of EWMA and CUSUM are mixed-up. Therefore, this study is finding a space to mix-up EEWMA by CUSUM control chart in order to get more efficient control chart to monitor the process mean than EEWMA control chart and CUSUM control chart. Furthermore, this study finds a space to make the practice of auxiliary variable to make the mixed-EEWMA-CUSUM control chart more competent to monitor the shift in the mean of process. Thus, in this study, a mixed chart based on classical CUSUM and EEWMA named as EEWMA-CUSUM is proposed. Evaluation is conducted through average run length (ARL) criterion. The solo purpose of this research is to make the chart more sensitive to smaller shifts than existing charts. The comparisons of proposed chart are done with different literature control chart naming CUSUM, EWMA, EEWMA. The comparison purpose is to show how the proposed Mixed EEWMA CUSUM surpasses other charts in the form of small to moderate shifts in the value of process mean. Eventually, to prove the superiority of proposed chart numerically and practically, simulation study is used. Furthermore, as auxiliary information gives more power to detection ability of control chart. So, Mixed EEWMA-CUSUM using auxiliary information is proposed as well to check if its results outcast the Mixed proposed EEWMA-CUSUM control chart’s performance. ARLs method is adopted to evaluate this chart.
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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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    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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    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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    INTERNSHIP REPORT ON BUREAU OF STATISTICS, GOVERNMENT OF PUNJAB, LAHORE
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2024) Muhammad Shehroz; CIIT/FA21-BST-025/LHR; Dr. Tajamul Hussain; LHR TP 9934
    The Bureau of Statistics, Government of Punjab, serves as the primary repository and hub for statistical data activities in the province, tasked with collecting, analyzing, and disseminating statistical information through various publications and media. As it is attached to the Planning and Development Department, BOS operates in accordance with standards set by the National Statistical Council. Its key functions are to collect provincial- level data, coordinate and support statistical activities across the province, liaise with the Federal Statistical System, and prepare and disseminate provincial indicators through institutional sources and new censuses/surveys. With its Head Office in Lahore and an extensive network of 9 divisional and 15 district field offices, BOS, Punjab ensures comprehensive coverage across the province. Upon gaining independence in 1947, Pakistan faced the challenge of a decentralized statistical system, where data production was closely tied to government administration rather than a centralized statistical authority. Before establishing the Bureau of Statistics, statistical functions were dispersed across various government departments, with each department's statistical cell possessing differing levels of strength, technical expertise, and skills. However, there was no centralized agency to coordinate and harmonize their activities, resulting in a lack of cohesion and consistency in statistical data collection and analysis. Recognizing the system's limitations, the Pakistan Government established the Central Statistical Office (CSO) in 1950 as an attached department of the Economic Affairs Division, based on the recommendations of the Statistical Reorganization Committee. The CSO aimed to coordinate the country's statistical activities and meet its growing data needs. As development planning gained emphasis and demand for statistical data increased, the Planning Commission recommended expanding CSO's activities, leading to the establishment of Provincial Bureaus of Statistics in West Pakistan and East Pakistan, as advised by the IBRD Mission. The Bureau of Statistics was subsequently established in October 1957 within the Power, Irrigation & Development Department of the Government of West Pakistan, tasked with providing a continuous source of statistical data, enhancing provincial statistics, and disseminating information through publications. The Bureau was later integrated into the Planning and Development Department on January 31, 1959, and declared an attached department on July 1, 1973.
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    EBiz Lounge (Private) Limited
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2024) Ansa Bibi; CIIT/FA21-BST-008/LHR; Dr. Tajammul Hussain; LHR TP 9929
    This internship report reflects the expert encounters and bits of knowledge acquired at EBiz Lounge Private Limited. As a Statistics student at COMSATS University, Islamabad, Lahore campus this internship offered an important chance to apply hypothetical information in a certifiable setting. The active openness in the online business, especially through association with the eBay stage, extended the comprehension of computerized commercial centers and upgraded specialized and scientific skills. The essential goal of the internship was to obtain useful involvement in overseeing item postings on eBay, advancing search engine optimization(SEO) techniques, and adding to deal development. Errands included item posting improvement, leading statistical surveying, and breaking down deals execution. Every obligation added to the proficient turn of events and gave further experiences in e-commerce dynamics. Challenges, such as adapting to changing algorithms and managing multiple priorities, offered meaningful learning opportunities. This report sums up the encounters, information acquired, and skills created during the internship. It involves the tasks which are completed in the internship, challenges I faced, and the possible solutions to get successful outcomes. Ideally, this report will act as a helpful asset for understudies and experts looking to comprehend the powerful web-based business scene and the worth of viable involvement in cultivating proficient development.
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    Generalized Transmuted Exponential Distribution
    (Library Information Services, COMSATS University Islamabad, Lahore Campus., 2020-04-01) BILAL MAJEED; CIIT/FA19-BST-008/LHR; Mr. Salman Abbas; LHR TP 9942
    In this study, we use the Transmuted Family of distributions to develop a novel generalized exponential model. Transmuted Exponential distribution is the name of the suggested distribution. For the proposed distribution, moments, generating functions, reliability functions, among other mathematical aspects, are explored. The maximum likelihood approach is considered to estimate the distribution parameters. The use of the under study distribution in real-world scenarios is then explained. The proposed family can be used for the generalization of the classical models.
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    Development Of Calibration Log Estimator to Estimate Population Mean Using Randomized Response Technique
    (Library Information Services, COMSATS University Islamabad, Lahore Campus., 2020-04-01) Rehmina; CIIT/FA19-BST-011/LHR; Dr. Riffat Jabeen; LHR TP 9944
    Calibration method is a useful method in daily life meanwhile it allows us to gather a single sample without repeating the process. In the presence of sensitive information, we calculate the variation of population with the help of calibration method. We proposed calibration log ratio estimator by using the method of (Jabeen, et al. 2022) in the presence of sensitive data.
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    Generalized Transmuted Weibull Distribution
    (Library Information Services, COMSATS University Islamabad, Lahore Campus., 2020-04-01) MOHSIN QUDDUS; CIIT/FA19-BST-012/LHR; Salman Abbas; LHR TP 9946
    In this research, we introduce a new generalized Weibull distribution using a new Transmuted family. An account of statistical characteristics of the generalized model is discussed in detail. Estimation of the model parameter is followed by method of maximum likelihood. A real-life application is presented to illustrate the applicability of the derived model. This new family of distribution can be utilized by researchers for developing generalized distributions in the future.
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    Statistical Identification of Factors Responsible for Rice Yield: Regression Analysis Approach
    (Library Information Services, COMSATS University Islamabad, Lahore Campus., 2020-04-01) Muhammad Faheem Javaid; CIIT/FA19-BST-009/LHR; Dr. Aamir Sanaullah; LHR TP 9944
    The importance of agriculture in our economy is underscored by the fact that it provides essential food supplies to meet the needs of our growing population. In Pakistan, agriculture is a vital contributor to our economic growth, Accounting for 22.7% of the GDP and employing approximately 37.4% of the Labor force. The rice ranked at 3rd place with 5.03 billion metric tons production worldwide. Pakistan came at 9th place all over the world in producing milled rice with a production of 9.32 million metric tons, rice contributes 2.4% to the value addition and 0.5% to the GDP. In this study we have collected data of Rice yield from Agriculture Department with various factors that contribute in the yield of rice. Then we use regression approach to identify the factors that are contributing in the rice yield significantly and the factors that contributing insignificantly. From the multiple linear regression, we got the R2 = 58.1% and Adjusted R Squared = .553. And then we see that, some predictor variables were found to be statistically significant while others were not as they are important for the rice yield. We suspected multicollinearity and applied factor analysis to address it. Factor analysis is applied to the independent variables, generating factors that were then used in a multiple regression analysis. The results of this analysis showed an improvement over the previous model, by making factors from all the independent variables show that all the factors are now contributing significantly in the model and the R2 has also improved from 58.1% to 68.7%.