Examination of The Logarismic Normal Distribution with 3 Parameters and Formation of a Modified Distribution. Survey of the annual rainfall in California.:Survey of the annual rainfall in California

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The annual rainfall data at Sacramento, Oroville and Shasta in California were tested whether they obey Normal distribution, Logarismic Normal distribution (with 2 parameters) or the distribution with 3 parameters. The last distribution was better than the others in agreement. Then, the calculating method of b, one of the 3 parameters which is added to rainfall data in order to agree with the distribution, was examined to introduce a simple method for founding b in minimizing the square of errors of a distribution graph. However, the Logarismic distribution with 3 parameters has the limit to the agreement, especially around maximum or minimum. Then, a modified Logarismic distribution was prepared and proposed. The new distribution was better than the above in agreement. And the estimation of the errors was proposed in a view point which the errors of the nearer distri bution to the true distribution approached to Normal distribution.
水文・水資源学会の論文