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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    Generalized Ratio Type Exponential Estimators for the Population Mean Using Ranked Set Sampling
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2018) Amjad Ali; SP16-RST-002; LHR TP 4837; Dr. Muhammad Ismail
    The dominance of using ranked set sampling, for estimating the mean of a population, as compare to simple random sampling is well reputable. This technique is useful when visual ordering of a small set of size “m” can be made simply and precisely, since exact measurement of a value is most of the times very hard to obtain. In this dissertation, exponential ratio type estimators are proposed for evaluating the population mean by using ranked set sampling. We found through numerical results that the results of proposed ratio type estimators which is estimated under ranked set sampling is more reliable and competent than the simple random sampling (SRS) and some other already existed estimators under SRS are suggested by Cochran (1977), Parsad 1989, Bahl and Tuteja (1991). The comparison is also made with estimators under ranked set sampling by Samawi and Muttalak (1996), Rabail (2014) and Gajendra , Zeeshan and Carlos (2017).
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    GENERALIZED ESTIMATORS OF POPULATION MEAN IN TWO PHASE SAMPLING IN THE PRESENCE OF NON RESPONSE
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2016) Muhammad Taimoor Safdar; FA14-MSSTAT-003; Dr. Muhammad Ismail; LHR TP 4484
    In the mid of 1780’s, the famous mathematician Pierre Laplace thought to approximate the total French people by using the identified number of childbirths in a specified year and the estimated ratio of the population to annual births on the basis of population sample of 700 communes. However, his projected ratio was on no occasion recycled for its inventive purpose because it became problematic to obtain an appropriate total of childbirths for the entire French people due to many reasons including the military events against France during Napoleon’s early years.
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    Ratio & Product estimators of mean using two-phase sampling in the presence of non-response
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2016) Muhammad Irfa; FA14-MSSTAT-001; Dr. Muhammad Ismail; LHR TP 4483
    Many statisticians have been worked in the field of two-phase sampling when there is a non-response in the data using a single auxiliary variable and multi-auxiliary variables for different cases which begin since Hansen and Hurwitz’s (1946) work on non response. In this study, new estimators of mean in the form of ratio and product are proposed for different cases of two-phase sampling using a single auxiliary variable for non-response. The mean square errors expressions of the proposed estimators are also derived. An empirical study is also conducted to assess the performance of the proposed estimators with existing estimators
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