Gauhati University Question Papers for Statistics 5th Semester

Gauhati University Question Papers for  Statistics 5th Semester

Question Paper from 2010 available

          

More than 50 question papers every semester

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More than 50 question papers every semester

SEMESTER – V

Credit – 6 (Paper 501)

Paper M501 : Sampling Distribution and Statistical Inference – I             

Unit 1:                                                                                                                      

Sampling   Distribution:   -

χ 2 , x , s2 , t, r, and, F –   Their   derivation,   properties,   inter-

relationship and applications (null case only)

Order Statistics :-           Definition and uses of order Statistics, derivation of the distribution of  rth  ordered  statistic,  joint  distribution  of  the  rth     &  sth  order statistics, distribution of sample range and sample median.

Unit 2:                                                                                                                       

Point estimation: -     Properties of good estimators- unbiasedness, consistency, efficiency, sufficiency. Mean square error, Minimum Variance Unbiased Estimator, Crammer Rao lower bound (with proof) and related results.

Methods of estimation: - Methods of maximum likelihood, Method of Moments, Method of Minimum  chi-square—Statement  of properties  of these  methods (without proof ).

Paper M502 : Sample Survey            

Place of Sampling. Census and survey work. Concept of sampling frame and sampling unit. Sampling Techniques: -    Simple Random Sampling. Stratified Random Sampling, Cluster

Sampling,   Systematic   Sampling,   Double   sampling,   sampling   with  probability proportional to size.

Estimation procedures: - Estimates of population total and mean, bias in estimates, standard error of estimates, Ratio, regression and product estimates.

Optimum design: -      Cost and variance functions. Use of pilot survey. Optimum size and structure  of  sampling  units.  Proportional  and  optimum  allocation  in  stratified random sampling. Non sampling errors and their control.

Paper M503: Applied Statistics–I     

Unit 1: Index number:                                                                                      

 Different types of index numbers e.g. index numbers of wholesale prices, cost of living index  numbers  (CLIN  )  and  index  of  production  (agricultural  and  industrial)  numbers. Comparison of CLIN over time.

Unit 2: Applied Economics:                                                                                 

 Income distributions. Pareto’s curve, Measures of inequality-Gini’s coefficient and Lorenz curve,  and  concentration  curve.  Elements  of  Econometrics:   Definition  and  scope  of Econometrics.  Relation  between  variables,  Linear  model:  two  or  more  variables.  Least square   assumptions   Estimation   of   regression   parameters,   Test   of   significance   and confidence  interval  of parameters.  Problem  of single  equation,  model,  multicollinearity, autocorrelation & Heteroscedasticity  (brief idea of why it occur – violation of Least square assumptions). Theory of consumption and Demand, Demand function, elasticity of demand,

statistical analysis of demand with the help of time series and family budget data. Engel curve.

Unit 3: Time Series:                                                                                                  

 Economic  time series,  Multiplicative  and additive  models,  trend determination  by curve fitting and moving average methods, determination of seasonal indices, idea of correlogram and periodogram; Concepts of forecasting and its applications, Methods of forecasting MA, exponential smoothing.

Paper M504 : Operations Research – II 

  

Unit 1: Replacement and Maintenance:                                                                    

Replacement of items with deterministic deterioration (items that    deteriorate with time), group replacement policy.

Unit 2: Inventory Models:                                                                                          

Concept of planned inventory  policies, ABC Analysis,  Deterministic  model policy when inventory levels are reviewed continuously and demand occurs uniformly with and without shortage cost, Economic order quantity for production planning when inventory models are reviewed  periodically(  with  and  without  shortage).  (Multi  item  models,  uncertain  and stochastic demand models are not required)

Unit 3: Network + C.P.M. + PERT:                                                                           35 Marks Network:      Idea  of  Network  node,  activities,  dummy  activity,  construction  of  network diagram.

C.P.M:  Network scheduling using C.P.M: determination of different types of floats and slacks, determination of Critical path.

PERT:        Basic  definition  of  PERT  and  its  usefulness;  brief  idea  of  optimistic  time, pessimistic time and most likely time (PERT calculations are not required)