A note on "Double bounded Kumaraswamy-power series class of distributions"

In a recent edition of SORT, Bidram and Nekoukhou proposed a novel class of distributions and derived its mathematical properties. Several of the mathematical properties are expressed as single infinite sums or double infinite sums. Here, we show that many of these properties can be expressed in terms of known special functions, functions for which in-built routines are widely available

A note on "Double bounded Kumaraswamy-power series class of distributions"

In a recent edition of SORT, Bidram and Nekoukhou proposed a novel class of distributions and derived its mathematical properties. Several of the mathematical properties are expressed as single infinite sums or double infinite sums. Here, we show that many of these properties can be expressed in terms of known special functions, functions for which in-built routines are widely available.Peer Reviewe

A note on "Double bounded Kumaraswamy-power series class of distributions"

In a recent edition of SORT, Bidram and Nekoukhou proposed a novel class of distributions and derived its mathematical properties. Several of the mathematical properties are expressed as single infinite sums or double infinite sums. Here, we show that many of these properties can be expressed in terms of known special functions, functions for which in-built routines are widely available

ASEAN-Indonesia counterterrorism cooperation to fight terrorism in Indonesia since October 2002-2009

Terrorism and counterterrorism have become high priorities in Indonesia. Several bomb explosions since the fall of New Order government in 1998 until the J.W. Marriott and Ritz - Carlton hotels on July 17, 2009 such as Christmas Eve bombing, Bali bombing, Australian Embassy and J.W.Marriot bombing demonstrates that terrorism is a continuous threat. This paper discusses the counterterrorism measures taking by the Indonesian government to deal the problem. The aim of this study is: to verify support given by ASEAN Countries to fight terrorism in Indonesia. To get the specific information and data, the writer uses two kinds of research methods which are field research (observation, data collection, data analysis) and library Research. The writer used this method by reading and taking sources from books found in the library and looking for the other material that have relationship with this observation. The result of study describes counterterrorism cooperation between ASEAN and Indonesia, such as intelligence sharing, joint training of law enforcement, and efforts to standardize legal definitions of terrorism. ASEAN (The Association of Southeast Asian Nations) and its member countries have been addressing the issue of terrorism at the national, bilateral and multilateral basis over the years. The ASEAN Leaders viewed terrorism as a profound threat to international peace and security and "a direct challenge to the attainment of peace, progress and prosperity of ASEAN and the realization of ASEAN Vision 2020". Furthermore, this paper seeks to plot the trajectory of ASEAN-Indonesia counterterrorism cooperation from the Bali bombing of October 2002 through the J.W.Marriott and Ritz Carlton Hotels of July 2009

Nonlinear Normalization in Limit Theorems for Extremes

2000 Mathematics Subject Classification: 60G70, 60F05.It is well known that under linear normalization the maxima of iid random variables converges in distribution to one of the three types of max-stable laws: Frechet, Gumbel and Weibull. During the last two decades the first author and her collaborators worked out a limit theory for extremes and extremal processes under non-linear but monotone normalizing mappings. In this model there is only one type of max-stable distributions and all continuous and strictly increasing df's belong to it. In a recent paper on General max-stable laws, Sreehari points out two "confusing" results in Pancheva (1984). They concern the explicit form of a max-stable df with respect to a continuous one-parameter group of max-automorphisms, and domain of attraction conditions. In the present paper the first claim is answered by a detailed explanation of the explicit form, while for the second we give a revised proof. The rate of convergence is also discussed

An Estimate of the Probability Pr(X<Y)

2000 Mathematics Subject Classification: 33C90, 62E99In the area of stress-strength models there has been a large amount of work as regards estimation of the probability R = Pr(X<Y) when X and Y are independent random variables belonging to the same univariate family of distributions. In this paper we propose an estimate of this quantity based on a simple property of the uniform distribution. We illustrate the use of the estimate with bootstrap confidence intervals for four commonly known distributions (normal, exponential, gamma and beta).The third author is supported by by NFSI-Bulgaria, Grant No. MM-1101/2001

Satellite-clock modeling in single-frequency PPP-RTK processing

The real-time kinematic precise point positioning (PPP-RTK) technique enables integer ambiguity resolution by providing singlereceiver users with information on the satellite phase biases next to the standard PPP corrections. Using undifferenced and uncombined observations, rank deficiencies existing in the design matrix need to be eliminated to formestimable parameters. In this contribution, the estimability of the parameters was studied in single-frequency ionosphere-weighted scenario, given a dynamic satellite-clock model in the network Kalman filter. In case of latency of the network corrections, the estimable satellite clocks, satellite phase biases, and ionospheric delays need to be predicted over short time spans. With and without satellite-clock models incorporated in the network Kalman filter, different approaches were used to predict the network corrections. This contribution shows how the predicted network corrections responded to the presence and absence of satellite-clock models. These differences in the predicted network corrections were also reflected in the user positioning results. Using three different 1-Hz global positioning system (GPS) single-frequency data sets, two user stations in one small-scale network were used to compute the positioning results, applying predicted network corrections. The latency of the network products ranges from 3 to 10 s. It was observed that applying strong satellite-clock constraints in the network Kalman filter (i.e., with the process noise of 1 or 0.5mm per square root of second) reduced the root-mean squares (RMS) of the user positioning results to centimeters in the horizontal directions and decimeters in the vertical direction for latencies larger than 6 s, compared to the cases without a satellite-clock model

On Pólya's random walk constants

A celebrated result in probability theory is that a simple symmetric random walk on the d-dimensional lattice Zd is recurrent for d=1,2 and transient for d ≥ 3. In this note, we derive a closed-form expression, in terms of the Lauricella function of type C, for the return probability for all d ≥ 3. Previously, a closed-form formula had only been available for d=3