This study was carried out to analyse the trend analysis of long-term annual and seasonal rainfall pattern in Telangana state, India. For this monthly data state from January 1982 December 2021 collected NASA power website (https://power.Iarc.nasa.gov). The linear regression line non-parametric tests, such as Mann-Kendall test, Modified-Mann Kendall test Innovative were used understand present ...

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...

Nonparametric correlation estimators as the Kendall and Spearman correlation are widely used in the applied sciences. They are often said to be robust, in the sense of being resistant to outlying observations. In this paper we formally study their robustness by means of their influence functions and gross-error sensitivities. Since robustness of an estimator often comes at the price of an incre...

We study the rate-distortion relationship in the set of permutations endowed with the Kendall τ-metric and the Chebyshev metric. Our study is motivated by the application of permutation rate-distortion to the average-case and worst-case analysis of algorithms for ranking with incomplete information and approximate sorting algorithms. For the Kendall τ-metric we provide bounds for small, medium,...

Bhadradri district of the central Telangana zone is monsoon dependent as like our country in past three decades many changes and shifts rainfall was experienced by farming community. Hence, data (1991-2020) analyzed using non parametric statistical tests i.e Mann-Kendall (MK) test Sen’s slope estimator for determining trend magnitude. The Results study revealed that Z value annual significantly...