Stochastic modeling of rainfall in Peninsular malaysia using Bartlett Lewis rectangular pulses models

Ibrahim Suliman Hanaish, Kamarulzaman Ibrahim, Abdul Aziz Jemain

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Three versions of Bartlett Lewis rectangular pulse rainfall models, namely, the Original Bartlett Lewis (OBL), Modified Bartlett Lewis (MBL), and 2N-cell-type Bartlett Lewis model (BL2n), are considered. These models are fitted to the hourly rainfall data from 1970 to 2008 obtained from Petaling Jaya rain gauge station, located in Peninsular Malaysia. The generalized method of moments is used to estimate the model parameters. Under this method, minimization of two different objective functions which involve different weight functions, one weight is inversely proportional to the variance and another one is inversely proportional to the mean squared, is carried out using Nelder-Mead optimization technique. For the purpose of comparison of the performance of the three different models, the results found for the months of July and November are used for illustration. This performance is assessed based on the goodness of fit of the models. In addition, the sensitivity of the parameter estimates to the choice of the objective function is also investigated. It is found that BL2n slightly outperforms OBL. However, the best model is the Modified Bartlett Lewis MBL, particularly when the objective function considered involves weight which is inversely proportional to the variance.

Original languageEnglish
Article number253735
JournalModelling and Simulation in Engineering
Volume2011
DOIs
Publication statusPublished - 2011

Fingerprint

Malaysia
Stochastic Modeling
Rainfall
Rain
Objective function
Directly proportional
Model
Rain gages
Generalized Method of Moments
Goodness of fit
Method of moments
Weight Function
Estimate
Optimization Techniques
Gauge
Cell

ASJC Scopus subject areas

  • Computer Science Applications
  • Modelling and Simulation
  • Engineering(all)

Cite this

Stochastic modeling of rainfall in Peninsular malaysia using Bartlett Lewis rectangular pulses models. / Suliman Hanaish, Ibrahim; Ibrahim, Kamarulzaman; Jemain, Abdul Aziz.

In: Modelling and Simulation in Engineering, Vol. 2011, 253735, 2011.

Research output: Contribution to journalArticle

@article{931df1f4a9ef41aaa2adc1e5bdd62f40,
title = "Stochastic modeling of rainfall in Peninsular malaysia using Bartlett Lewis rectangular pulses models",
abstract = "Three versions of Bartlett Lewis rectangular pulse rainfall models, namely, the Original Bartlett Lewis (OBL), Modified Bartlett Lewis (MBL), and 2N-cell-type Bartlett Lewis model (BL2n), are considered. These models are fitted to the hourly rainfall data from 1970 to 2008 obtained from Petaling Jaya rain gauge station, located in Peninsular Malaysia. The generalized method of moments is used to estimate the model parameters. Under this method, minimization of two different objective functions which involve different weight functions, one weight is inversely proportional to the variance and another one is inversely proportional to the mean squared, is carried out using Nelder-Mead optimization technique. For the purpose of comparison of the performance of the three different models, the results found for the months of July and November are used for illustration. This performance is assessed based on the goodness of fit of the models. In addition, the sensitivity of the parameter estimates to the choice of the objective function is also investigated. It is found that BL2n slightly outperforms OBL. However, the best model is the Modified Bartlett Lewis MBL, particularly when the objective function considered involves weight which is inversely proportional to the variance.",
author = "{Suliman Hanaish}, Ibrahim and Kamarulzaman Ibrahim and Jemain, {Abdul Aziz}",
year = "2011",
doi = "10.1155/2011/253735",
language = "English",
volume = "2011",
journal = "Modelling and Simulation in Engineering",
issn = "1687-5591",
publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - Stochastic modeling of rainfall in Peninsular malaysia using Bartlett Lewis rectangular pulses models

AU - Suliman Hanaish, Ibrahim

AU - Ibrahim, Kamarulzaman

AU - Jemain, Abdul Aziz

PY - 2011

Y1 - 2011

N2 - Three versions of Bartlett Lewis rectangular pulse rainfall models, namely, the Original Bartlett Lewis (OBL), Modified Bartlett Lewis (MBL), and 2N-cell-type Bartlett Lewis model (BL2n), are considered. These models are fitted to the hourly rainfall data from 1970 to 2008 obtained from Petaling Jaya rain gauge station, located in Peninsular Malaysia. The generalized method of moments is used to estimate the model parameters. Under this method, minimization of two different objective functions which involve different weight functions, one weight is inversely proportional to the variance and another one is inversely proportional to the mean squared, is carried out using Nelder-Mead optimization technique. For the purpose of comparison of the performance of the three different models, the results found for the months of July and November are used for illustration. This performance is assessed based on the goodness of fit of the models. In addition, the sensitivity of the parameter estimates to the choice of the objective function is also investigated. It is found that BL2n slightly outperforms OBL. However, the best model is the Modified Bartlett Lewis MBL, particularly when the objective function considered involves weight which is inversely proportional to the variance.

AB - Three versions of Bartlett Lewis rectangular pulse rainfall models, namely, the Original Bartlett Lewis (OBL), Modified Bartlett Lewis (MBL), and 2N-cell-type Bartlett Lewis model (BL2n), are considered. These models are fitted to the hourly rainfall data from 1970 to 2008 obtained from Petaling Jaya rain gauge station, located in Peninsular Malaysia. The generalized method of moments is used to estimate the model parameters. Under this method, minimization of two different objective functions which involve different weight functions, one weight is inversely proportional to the variance and another one is inversely proportional to the mean squared, is carried out using Nelder-Mead optimization technique. For the purpose of comparison of the performance of the three different models, the results found for the months of July and November are used for illustration. This performance is assessed based on the goodness of fit of the models. In addition, the sensitivity of the parameter estimates to the choice of the objective function is also investigated. It is found that BL2n slightly outperforms OBL. However, the best model is the Modified Bartlett Lewis MBL, particularly when the objective function considered involves weight which is inversely proportional to the variance.

UR - http://www.scopus.com/inward/record.url?scp=84855572884&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84855572884&partnerID=8YFLogxK

U2 - 10.1155/2011/253735

DO - 10.1155/2011/253735

M3 - Article

AN - SCOPUS:84855572884

VL - 2011

JO - Modelling and Simulation in Engineering

JF - Modelling and Simulation in Engineering

SN - 1687-5591

M1 - 253735

ER -