Topic

No. of Hours

Introduction to Random Variables (RVs).

01

Probability Distributions  One dimensional RVs.

02

Higher Dimensional RVs  Joint Distribution.

02

Conditional Distribution; Independence.

03

Properties of Random Variables.

02

Parameter Estimation.

02

Commonly used Distributions in Hydrology.

05

Hydrologic Data Generation.

04

Introduction to Time Series  stationarity; ergodicity.

02

Purely stochastic Models; Markov Processes.

05

Spectral Density; Analysis in the Frequency Domain.

04

Auto Correlation and Partial Auto Correlation.

02

Auto Regressive Moving Average Models (Box  Jenkins models  model identification; Parameter estimation ; calibration and validation; Simulation of hydrologic time series ; Applications to Hydrologic Forecasting  case studies).

06

Total

40

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