Kendall Rank Correlation Let (X1, Y1), · · · , (Xn, Yn) be a bivariate random sample of size n. The Pearson correlation coefficient provides an optimal measure of the degree of association between the X’s and the Y ’s when the sample is drawn from a bivariate normal distribution. The Pearson correlation coefficient is reasonably robust for many other distributions as well. The Kendall correlati...

one of the most important hydrological time series task is to determine if there is any trend in the data and how to achieve stationarity when there is nonstationarity behavior in data. detecting trend and stationarity in hydrological time series may help us to understand the possible links between hydrological processes and global climate changes. in this study yearly, monthly and daily stream...

background & aim: the aim of the study was to define the epidemiological characteristics of most important infectious diseases in iran in recent decades. methods & materials: this was a situation trend analysis of infectious diseases (vector and water borne disease, and food borne diseases) in recent decades based on data availability. three significance levels were used for mann-kendall test (...

This paper presents user-friendly SAS macro and SAS programs to check the three parts of a time series: Trend, Cyclical patterns, and Stationarity. The SAS macro KENDALL performs the trend analysis. Seasonal Kendall Trend analysis, including summery statistics; overall Tau and the P-value of the test for trend; monthly Tau values, the corresponding P-values for each month; the Seasonal Kendall ...

global warming has brought about changes in meteorological variable time series. these changes, accompanied with serious human intervention in nature, has resulted in hydrological changes. so the effects can be tracked down by the trend of the time series. the purpose of this study is to analyze and compare the monthly and annual trends of temperature, precipitation as well as stream flow time ...

abstract the aim of this paper is to investigate annual and seasonal precipitation trends of some selective meteorological stations of central region in iran using non-parametric methods. two non-parametric methods including mann-kendall and sen's estimator slope methods were used here to analyze the seasonal and annual trends of precipitation data. some 48 meteorological stations in centr...

In this paper two nonparametric tests for monotonic trend detection are compared with respect to their power and accuracy. The importance of comparing powers at equal empirical signiicance levels rather than nominal levels, is stressed. Therefore, an appropriate graphical method is presented. The eeect of the sampling frequency is also assessed using a trajectory representation that visualizes ...