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    <subfield code="a">Ahmad, Zahoor</subfield>
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    <subfield code="a">Applications of point processes to model the rainfall in Pakistan</subfield>
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    <subfield code="a">Bangkok :</subfield>
    <subfield code="b">Asian Institute of Technology,</subfield>
    <subfield code="c">1990</subfield>
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    <subfield code="a">A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineering and Technology</subfield>
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    <subfield code="a">For the past two decades , point process models have become the  focus of many research activities related to the rainfall processes.  Until now, however, there has not been much work done on exploring  the applicability of such model s on rainfall data associated with  monsoon.  Three point process model s have been selected for modeling the  rainfall process of Rechna Doab, a monsoon affected region in Pakistan  Two of these point process models are continuous-time namely, Neyman- Scott Clustering Model (NSCM) and Rectangular Pulses Model (RPM), and  the third model, Markov renewal model (MRM) is the discrete- time. All  three models were calibrated on seasonal basis using some selected  sets of data ( about twenty one years) and then validated with independent sets of data. The data were taken from six stations representing the spatial variations of the rainfall behavior of Rechna Doab.  The assessment of goodness of fit of the mode l s was performed by  comparing empirical functions of the data not used in calibration  process with their theoretical counterparts . Then comparison of three  models at different levels of time aggregations was done with Cv- ratio  function which is the ratio of coefficient of variation at an arbitrary time scale to that at a time scale equal to one day. Based on  this criterion it has been found that no one model is superior to the  other models. However, by recalibrating the models with all six sets  of data grouped together, MRM became the only mod el that gave theoretical Cv- ratio functions that are consistent with the individual empirical cv-ratio functions of all six rainfall stations. Therefore, MRM  is preferred over NSCM and RPM as the point process model for Rechna  Doab.</subfield>
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