Home Assignment B.Sc-II (Statistics)

                                                    

                                      Department of Statistics

Home Assignment B.Sc.-II

Statistics Paper - V

1)	For a univariate continuous r.v. X. Define  i) Mean ii) Mode iii) First Quartile iv) Moment generating function
2)	For a univariate continuous r.v. X. Define                                   i) Probability density function                                  ii) Median                                 iii) Harmonic mean                                  iv) Cumulant generating function
3)	A continuous r. v. X has following p.d.f.               f(x)  = C x (2-x) ;    0 < x <  2                        =   0           ;     otherwise       Find i) constant C ii) mean iii) variance iv) Mode
4)	Define moment generating function (m.g.f.) and state their properties.
5)	Define distribution function and state their properties.
6)	Find mean and variance of uniform distribution.
7)	If X ~ U (a,b) then find its m.g.f.        Statistics Paper - VI 1) Write brief notes on: a) Personal income b) Per capita income c) Disposable income 2) Fisher's definition of national income 3) Obtain the equation of regression plane of variable X1 on X2 and X3 by the method of least squares. 4) Define Laspeyre's, Paasches's & Fisher's index number Also state its drawback. 5) State the components of a) GNP b) GDP 6) State any two properties of residual. Verify or prove any one of them. 7) Explain the term partial correlation and multiple correlations. 8) With usual notations show that     1-R2 1.23 = (1-r21.3) (1-r212.3)