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Faculty of Science Handbook, Session 2017/2018



                   (EPF)  and  Social  Security  Organisation  (SOCSO).  Humanity Skill:
                   Issues and Challenges of Social Policy East & West,  CS3, CT3
                   187-219.
               4.  Malaysia,  &  International  Law  Book  Services. Legal  References:
                                                                   Elandt-Johnson,  R.  C.,  &  Johnson,  N.  L.  (1999).
                                                               1.
                   Research  Board.  (2013).  Undang-undang  pencen  di  Survival models and data analysis. John Wiley.
                   Malaysia:  hingga  10hb  Mei  2013.  International  Law  2.  Benjamin, B., & Pollard, J. H. (1993). The analysis of
                   Book Services.                                  mortality  and  other  actuarial  statistics.  Institute  and
                                                                   Faculty of Actuaries.
                                                               3.  London,  Dick  (1998).  Survival  Models  and  their
               SIQ3009  FOUNDATION OF ISLAMIC FINANCE              Estimation. ACTEX Publications.
                                                               4.  Peter J. Smith (2002). Analysis of Failure and Survival
               Introduction  to  Islamic  finance  and  its  practices;  Riba,  Data. Chapman & Hall.
               gharar   and   maisir;   Musharkah,  mudharabah   and
               murabahah;  Ijarah,  salam  and  istisna’;  Çomparison  of
               Islamic  and  conventional  financial  systems;  Islamic  SIT1001  PROBABILITY AND STATISTICS I
               financial  institutions  and  products,  Islamic  banking  and
               takaful,  Islamic  investment  instruments;  Capital  market  in  Properties of probability. Counting techniques. Conditional
               an  Islamic  framework,  leasing,  securitization  and  sukuk;  probability. Independent events. Bayes Theorem.
               Modeling  Islamic  financial  products  using  mathematical
               software;  Regulatory  framework  for  Islamic  financial  Discrete  random  variables.  Mathematical  Expectation.
               institutions in Malaysia.                       Discrete  distributions:  uniform,  hypergeometric,  Bernoulli,
                                                               binomial,  geometric,  negative  binomial  and  Poisson.
               Assessment:                                     Moment generating function.
               Continuous Assessment:       50%
               Final Examination:           50%                Continuous  random  variables  and  its  mathematical
                                                               expectation. Continuous distributions: uniform, exponential,
               Medium of Instruction:                          gamma, chi-squared and Normal distributions.
               English
                                                               Distribution of function of one random variable.
               Humanity Skill:
               CS3, CT3                                        Sampling   distribution   theory:   Independent   random
                                                               variables.  Distributions  of  sum  of  independent  random
               References:                                     variables.  Random  functions  related  to  the  normal
               1.  Taqi  Usmani,  M.  (1998).  An  introduction  to  Islamic  distribution.  Central  limit  theorem.  Approximation  for
                   finance. Arham Shamsi.                      discrete   distributions.   Limiting   moment   generating
               2.  El-Gamal,  M.  A.  (2006).  Islamic  finance:  Law,  functions.
                   economics, and practice. Cambridge University Press.
               3.  Iqbal,  Z.,  &  Mirakhor,  A.  (2011).  An  introduction  to  Assessment:
                   Islamic  finance:  theory  and  practice.  Vol.  687.  John  Continuous Assessment:  40%
                   Wiley & Sons.                               Final Examination:           60%
               4.  Mirakhor,  A.,  &  Krichene,  N.  (2014).  Introductory
                   Mathematics  and  Statistics for  Islamic  Finance. John  Medium of Instruction:
                   Wiley & Sons.                               English

                                                               Humanity Skill:
               SIQ3010 SURVIVAL MODEL                          CS2, CT2, EM2
               Estimation  of  lifetime  distributions:  lifetime  distributions,  References:
               cohort  studies,  censoring,  Kaplan-Meier  estimates,  Cox  1.  R.V.Hogg  &  E.A.  Tanis, Probability  &  Statistics
                                                                           th
               regression model and its estimation.                Inference, 8 ed., Pearson, 2010.
                                                               2.  R.V.Hogg,  J.  McKean  &  A.T.  Craig,  Introduction  to
                                                                                     th
               Markov  models:  Multi-state  Markov  models,  Kolmogorov  Mathematical Statistics, 7 ed. Pearson, 2012
               forward  equations,  estimation  of  the  force  of  mortality,  3.  H.J.  Larson,  Introduction  to  Probability  Theory  &
                                                                                   rd
               estimation of multi-state model transition intensities.  Statistical Inference, 3 ed., Wiley, 1982.
               Binomial and Poisson models of mortality: Binomial model
               of  mortality,  uniform  and  constant  force  of  mortality  SIT2001  PROBABILITY AND STATISTICS II
               assumptions, maximum likelihood estimator for the rate of
               mortality, Poisson models.                      Distributions  of  two  and  more  dimensional  random
                                                               variables.  Correlation  coefficient.  Conditional  distributions.
               Graduation and  statistical  tests:  methods  of  graduating  Bivariate normal distribution. Transformation of two random
               crude  estimates,  Chi-square  test,  standardised  deviation  variables. Distributions of order statistics.
               test, sign test, grouping of sign test, serial correlations test.
                                                               Biased  and  unbiased  estimators.  Method  of  moment.
               Exposed  to  risk:  Exact  exposed  to  risk,  approximate  Method  of  maximum  likelihood.  Confidence  interval  for:
               exposed to risk using census data.              mean,  proportion  and  variance  of  single  population;
                                                               difference  between  two  means,  difference  between  two
               Assessment:                                     proportions and ratio of variances.
               Continuous Assessment:  40%
               Final Examination:    60%                       Hypothesis  testing  for: mean,  proportion  and  variance  of
                                                               single  population;  difference  between  two  means,
               Medium of Instruction:                          difference between two proportions and ratio of variances.
               English                                         Chi-square goodness-of-fit tests and contingency tables.



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