Probability (PDF) and cumulative distribution function (CDF) are used extensively to calculate probability features in engineering, natural sciences, hydrology, meteorology and many other fields. In this study, a different type of Burr distribution is suggested, which provides an alternative probability calculation. The type is fitted to the Weibull empirical equation results on the vertical axis versus measurements on the horizontal axis with coefficient of determination (R²) almost one. The model generally produces better estimates according to mean absolute error and validation graph by comparing with the classical two parameter LogNormal and Gamma distributions. Rainfall data measured at Ankara, Kocaeli, and Edirne stations are used to establish all models for 64 years available data in Turkey. It is shown also that proposed type of Burr distribution perfectly fits the outputs of the classical CDFs for each station data. Additionally, the PDF type is obtained by derivating the proposed CDF form.

概率（PDF）和累积分布函数（CDF）被广泛用于计算工程，自然科学，水文学，气象学和许多其他领域的概率特征。在这项研究中，建议使用不同类型的Burr分布，这提供了另一种概率计算方法。将类型拟合到垂直轴上的Weibull经验方程式结果与水平轴上具有确定系数的测量值（R ²）几乎是一个。通过与经典的两个参数LogNormal和Gamma分布进行比较，该模型通常会根据平均绝对误差和验证图来产生更好的估计。使用安卡拉，科贾埃利和爱迪尔内站测得的降雨数据来建立土耳其64年可用数据的所有模型。还表明，建议的Burr分布类型完全适合每个站数据的经典CDF输出。此外，PDF类型是通过推导建议的CDF表单获得的。