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8.  G.S. Maddala, and K Lahiri, Introduction to Econometrics, Wiley, 2009.

         MA2082: BIO-STATISTICS [2 1 0 3]
         Biostatistics: Definition and scope, Variables: Measurements, functions, limitations and uses of statistics, A brief description
         and tabulation of biological data and their graphical representation, Data collection: types, methods, merits and demerits and
         sampling methods; Measures of central tendency: Mean, mode, median, their applications, merits and demerits; Measures of
         dispersion:  range,  standard  deviation,  mean  deviation,  merits  and  demerits,  Co-efficient  of  variations;  Probability  &
         Correlation:  Types  and  methods,  regression,  simple  regression  equation,  similarities  and  dissimilarities  of  correlation  and
         regression; Testing of hypothesis: Normal test, large sample tests, student ‘t’-test and chi square test; Nonparametric tests:
         Run,  sign,  median,  confidence  interval  for  population  mean  and  difference  of  two  population  mean;  Analysis  of  variance:
         Introduction and application in biology, one-way and two-way ANOVA.
         Note: Exposure to SPSS statistics software in Lab.
         References:
             1.  A.K. Sharma. Text Book of Biostatistics I. Discovery Publishing House, New Delhi, 2005.
             2.  B.K. Mahajan. Methods in Biostatistics. Jaypee Brothers Publishers, New Delhi. 2002.
             3.  B. L. Agarwal. Basic Statistics. New Age International, New Delhi, 2006.
             4.  B. Rosner. Fundamentals of Biostatistics. Brooks/Cole Cengage learning, USA. 2010.
             5.  M. Pagano and K. Gauvreau. Principles of Biostatistics. Brooks/Cole Cengage Learning, USA. 2007.
             6.  S. Boslaugh. Statistics in a Nutshell. O’Reilly Publishers, New York. 2012.

         MA3080: MARKETING RESEARCH AND ANALYSIS [2 1 0 3]
         Marketing  Research:  Introduction,  research  problem,  developing  research  approach,  research  design,  qualitative  Research,
         projective  technique,  case  study,  descriptive  research,  design,  primary  &  secondary  data,  research  error,  measurement  &
         scaling,  scale  development,  questionnaire  &  form  design,  causal  research,  experimental  design,  sampling,  hypothesis
         development,  type  I  &  type  II  errors,  data  preparation,  hypothesis  testing,  cross  tabulation,  ethics,  report  preparation;
         Statistical  Methods:  Correlation  analysis,  simple  regression  analysis,  multiple  regression  analysis;  Multivariate  Analysis:
         Principal  component  analysis,  discriminant  Analysis,  cluster  analysis,  factor  analysis,  confirmatory  factor  analysis,  multi-
         dimensional scaling, conjoint analysis, structural equation modeling.
         References:
             1.  N. Malhotra, Marketing Research, Pearson, 2016.
             2.  K. V. S. Sarma and R. V. Vardhan. Multivariate Statistics Made Simple: A Practical Approach, CRC Press, 2018.
             3.  R. A. Johnson and D. W. Wichern, Applied Multivariate Statistical Analysis, Prentice Hall of India, 2001.
             4.  G. A. Churchill and A. Ismail, Marketing Research: A South Asian Perspective, Cengage Learning, 2010.

         MA3081: MATHEMATICAL FINANCE [2 1 0 3]
         Probability:  Probabilities  and  Events,  Conditional  probability,  Random  Variables  and  Expected  Values,  Convergence  and
         correlation,  Continuous  Random  variables,  Normal  Random  Variables,  The  central  limit  Theorem,  Simple  Problems;  The
         Measurement of Interest: Introduction, The accumulation and amount functions, The effective rate of interest, Simple interest,
         Compound  interest,  Present  value,  The  effective  rate  of  discount,  Nominal  rates  of  interest  and  discount.  Yield  Rates:
         Introduction, Discounted cash flow analysis, Uniqueness of the yield rate, Reinvestment rates, Interest measurement of a fund,
         Time-weighted rates of interest, NPV, IRR; Geometric Brownian Motion & The Arbitrage theorem: G.B.M. as a limit of simple
         models, Brownian Motion, Simple problems, The multi period Binomial model, proof of the Arbitrage theorem, Black Scholes
         formula, properties of the Black Scholes option cost, Derivation of Black Scholes formula, simple problems.
         References:
             1.  D. G. Luenberger, Investment Science, Oxford University Press, Delhi, 1998.
             2.  J. C. Hull, Options, Futures and Other Derivatives, 6th Ed., Prentice-Hall India, Indian reprint, 2006.
             3.  A. Cerny Mathematical Techniques in Finance: Tools for Incomplete Markets. Princeton University Press, 2009.
             4.  S. Ross, An Elementary Introduction to Mathematical Finance, 2nd Ed., Cambridge University Press, USA, 2003.
             5.  M.Y. Khan, P. K Jain, Financial Management, McGraw Hill Education, India, 7th edition, 2017.

         MA3082: MODELLING & SIMULATION [3 0 0 3]
         Introduction  to  Modelling  and  Simulation:  System  analysis,  classification  of  systems,  system  theory  basics,  its  relation  to
         simulation, model classification, conceptual, abstract, and simulation models, heterogeneous models, methodology of model
         building,  simulation  systems  and  languages,  means  for  model,  discrete  simulation  models;  Continuous  System  Modelling:
         Overview  of  numerical methods  used for  continuous  simulation,  combined  simulation, role  of  simulation  in  digital  systems
         design,  models  of  heterogeneous  systems;  Checking  Model  Validity:  verification  of  models,  analysis  of  simulation  results,
         simulation  results  visualization,  interactive  simulation,  design  and  control  of  simulation  experiments;  Model  Optimization:
         Generating,  transformation,  and  testing  of  pseudorandom  numbers,  stochastic  models,  Monte  Carlo  method,  overview  of
         commonly used simulation systems.
         References:
                                               th
             1.  S. Ross, Simulation, Academic Press, 5  edition, 2012.
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