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 ...

The disadvantages of apriori algorithm are firstly discussed. Then, a new measure of kendall-τ is proposed and treated as an interest threshold. Furthermore, an improved Apriori algorithm called K -apriori is proposed based on kendall-τ correlation coefficient. It not only can accurately find the relations between different products in transaction databases and reduce the useless rules but also...

Nonparametric correlation measures at the Kendall and Spearman correlation are widely used in the behavioral sciences. These measures are often said to be robust, in the sense of being resistant to outlying observations. In this note we formally study their robustness by means of their influence functions. Since robustness of an estimator often comes at the price of a loss in precision, we comp...

This paper reviews the present experimental knowledge of the properties of the tau lepton and the tau neutrino. The conventional theory of lepton properties and interactions is summarized; and that theory is compared with experiment. Future directions for research in tau and tau neutrino physics are described.

We explore the possibilty of detecting horizontal electromagnetic showers of tau neutrinos from individual gamma ray bursts in large scale detectors like HiRes and Telescope Array. We study the role of the parameters of a gamma ray burst in determining the expected number of tau events from that burst. The horizontal beam of tau leptons produce visible signals in the atmosphere. It is interesti...

We explore the possibilty of detecting horizontal electromagnetic showers of tau neutrinos from individual gamma ray bursts, in large scale detectors like HiRes and Telescope Array. We study the role of the parameters of a gamma ray burst in determining the expected number of tau events from that burst. The horizontal beam of tau leptons produce visible signals in the atmosphere. We find that t...

In a party-based election voters are grouped into parties and the voters belonging to the same party are assumed to cast their votes according to the fixed party preference over the set of candidates. For such elections, we investigate the complexity of the following problem: can we make some distinguished candidate win (or lose) the election by bribing at most k voters to switch from their ori...

Patent law is intended to promote the creativity of scientists and engineers. The system recognizes that the work of the individual is the engine that ultimately increases the state of scientific knowledge. As economist Paul Romer recognized, “Technological advance comes from things that people do.” Furthering creativity represents the constitutional, theoretical and doctrinal heart of patent l...