FM-303

 FM-303 INTRODUCTORY STATISTICS FOR BUSINESS

STATISTICAL METHODS

• Definition of statistics

• Concept Of statistical population and sample from a population

• Quantitative and qualitative data

• Nominal and Ordinal data

• Time series data 

• Discrete and Continuous data

• Presentation of data by table and by diagrams

• Frequency Distribution by histogram and frequency polygon

• Cumulative frequency distributions (inclusive and exclusive methods)

• Ogive

• Bivariate data scatter diagram

• principle of least squares and fitting of polynomials and exponential Curve.

• Measure of Location (or central tendency) and dispersion 

• Moments 

• Measure of Skewness and kurtosis

• Absolute moments and factorial moments

• Inequalities Concerning moments

• Sheppard's corrections

• Theory of attributes

• Consistency of data, Conditions for Consistency

• Independence

• Association of attributes,

• Measure of association and contingency.

PROBABILITY THEORY

• Permutation

• Combination

• Random experiments

• Sample point and sample space

• Events and Algebra of Events

• Definitions of Probability

• Classical and relative frequency approach to probability

• Richard Von-Mises and Kolmogorov's approach to probability, merits and demerits of these approaches 

• Theorems on Probability

• Conditional Probability

• Independence events, Bayes theorem and its applications.

RANDOM VARAIBLES

• Discrete and Continuous Variables

• Illustration of random Variables and its properties

• Univariate transformations.

• Expectation of random variables and its properties.

• Moments and Cumulants

• Moment generating Function

• Cumulant Generating Function 

• Characteristic Function