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About MacSphere

MacSphere is McMaster University's Institutional Repository (IR). The purpose of an IR is to bring together all of a University's research under one umbrella, with an aim to preserve and provide access to that research. The research and scholarly output included in MacSphere has been selected and deposited by the individual university departments and centres on campus.

To contribute to McMaster's Institutional Repository, please sign on to MacSphere with your MAC ID.

If you have any questions, please contact the MacSphere Support Team.

Students wishing to deposit their PhD or Masters thesis, please follow the instructions outlined by the School of Graduate Studies.

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Recent Submissions

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    Lagrance Multiplier Tests of Autoregressive Models
    (1995) Saha, Tarit Kami
    The Lagrange multiplier test procedure is applied to hypotheses concerning autoregressive time series models. One reasonable method of testing the specification of a statistical model is by overfitting: the null hypothesis that the model is correct is tested against a suitable alternative hypothesis of which the null hypothesis is a special case. Considering that the white noise process is distributed as t with v degrees of freedom and an extreme-value (Weibull) distribution with shape parameter, c, Lagrange Multiplier test statistics have been derived under the null hypothesis. The estimates of the parameters under the null hypothesis have been calculated by solving the system of nonlinear equations with the help of IMSL, NAG and FORTRAN 77 programming. Simulation results are presented to assess the performance of the tests. Consider the modelling of time series data with a lower limit of detection L, i.e. all the observations below L are censored, the score test statistics have been derived under the null hypothesis to test the autodependence in the data. Some simulation experiments are performed to assess the closeness and validity of the test under the null hypothesis. To illustrate the methodology in a real situation, data from the Niagara River containing on Total Lead Concentration (mg∕L) for the period 1986-1992 have been used for illustration.
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    Partially Ordered, Primitive Regular Semigroups
    (1973-02) Rompke, Jurgen
    The theory of partially ordered, primitive regular semigroups is developed under the hypothesis that the partial order admits enough integral idempotents. This is done in analogy to the theory of partially ordered groups. In particular, results are given which - in a purely algebraic way - determine the existence of partial orders and characterize the semigroup of integral elements of a directed, primitive regular semigroup
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    Meeting Package: February 2026, Graduate Council
    (2026) School of Graduate Studies
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    Approved Minutes: December 2025 Graduate Council
    (2025) School of Graduate Studies
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    Meeting Package: January 2026 Graduate Council
    (2026) School of Graduate Studies