Open AccessSequence of months with rain above and below average in Rayalaseema considered in relation to the theory of probability
Author(s) -
T. Srinivasan
Publication year - 1954
Publication title -
mausam
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.243
H-Index - 12
ISSN - 0252-9416
DOI - 10.54302/mausam.v5i3.4870
Subject(s) - contingency table , logarithm , mathematics , independence (probability theory) , sequence (biology) , statistics , relation (database) , combinatorics , computer science , mathematical analysis , genetics , database , biology
Monthly rainfall over a period of 60 years (1891-1950) in Rayalaseema has been analysed. The averages of the 12 months were determined and the sequences of months with rain above and below average (designated as A and B) respectively studied. It is found that an empirical relationship of the form log F=nR+S (where R and S are constants) exists between n the length of the run or sequence and F the cumulative frequency of runs of length n and more.
After performing the contingency test for the independence of the nature of consecutive months an approach based on the theory of probability is made and a justification for the observed logarithmic relation obtained.