F.Y B.A External - Kachchh University

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58 F.Y.B.A. (F.S.) Statistical Methods Paper II K.S.K.V. KACHCHH UNIVERSITY [The course aims to provide an understanding of application of statistics to business and industries while focusing to develop effective business communication skills among the students.] A) MATHEMATICAL METHODS: 1. FUNCTION : Concept of a function, Domain & Range of a function with Simple Examples. 2. LIMIT AND CONTINUITY: Concept of the limit of a function, Rules of limit (statements only) Simple examples of limit involving function of the type ax+b, ax2 +bx+c, (ax+b)/(cx+d), ekx concept of continuity of a function and simple example. 3. DIFFERENTIATION: Concept of derivative of a real function. Derivative from first principle of function such as x2 and x3 . Rules of derivative without proof. Derivation of the function of types : ax+b, ax2 +bx+c, (ax+b)(cx+d),(ax+b)/(cx+d), ekx , log x. B) TIME SERIES Definition and Meaning of time series. Components of time series. Trend, Seasonal, Cyclic and Random components, Elimination of trend by the method of Moving average, method of curve fitting, using or ordinary least squares principle only, curve fitting for numerical data for linear and quadratic case only. C) INDEX NUMBER Definition, Limitation and use of index numbers. Construction of wholesale price index number and cost of living index numbers, Laspeyer, Passche, Marshall Edge Worth and Fisher’s Index number. Time and Factor reversal tests. D) DEMOGRAPHIC METHODS 1. POPULATION CENSUS: Method of conducting population census and its usefulness. Detailed Study of last population census of India. Limitations of Indian census data and suggestions to improve them.
K.S.K.V. KACHCHH UNIVERSITY 59 2. VITAL STATISTICS: Meaning and scope of demography crude, standard and Age specific rates Mortality rates pertaining to (i) CDR (ii) SDR (iii) IMR Birth rates pertaining to (i) CDR (ii) SDR (iii) Age specific Birth rates. Fertility rates pertaining to (i) GFR (ii) ASFR (iii)TFR. Simple illustrative examples. E) 1. MOMENTS: Definition of raw and Central moments of a discrete random variable upto order four, their relationships (without proof) and numerical examples only. 2. PROBABILITY DISTRIBUTION: Statement of Probability mass function of Binomial, Poisson Normal and Hypergeometric distributions and their properties (without derivation) and simple examples based on these distributions.
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F.Y B.A External - Kachchh University

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