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Ravi Shanker Dubey, Anil Sharma and Monika Jain

Abstract

Elliptic-type integral plays a major role in the study of different problems of physics and technology including fracture mechanics. Many papers have been written for various families of elliptic-type integrals. Due to their applications here, we are presenting an organized study of certain generalized family of incomplete elliptic integral. The obtained results are basic in nature have various generalizations. While using the fractional integral operator of Riemann-Liouville type, we found several obvious hyper geometric representations. Which are further used to originate many definite integrals relating to their modules and amplitude of elliptic type generalized incomplete integrals.

Open access

Nuri Celik

Abstract

In this article, we introduce some examples of cubic rank transmuted distributions proposed by Granzatto et al. (2017). The statistical aspects of the introduced distributions such as probability density functions, hazard rate functions and reliability functions are studied. The maximum likelihood estimation method is used in order to estimate the parameters of interest. Finally, real data examples are applied for the illustration of these distributions.

Open access

M. Darus and Saumya Singh

Abstract

In the present paper, we introduce and investigate two new subclasses QΣ(n; y;k) and BΣ(n;β;k) of bi-valent functions in the unit disk U. For functions belonging to the classes QΣ(n;y;k) and BΣ(n;β;k), we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|.

Open access

Adil Rashid, Tariq Rashid Jan, Akhtar Hussain Bhat and Z. Ahmad

Abstract

There are diverse lifetime models available to the researchers to predict the uncertain behavior of random events but at times they fail to provide adequate fit for some complex and new data sets. New probability distributions are emerging as lifetime models to meet this ever growing demand of modeling complex real world phenomena from different sciences with better efficiency. Here, in this manuscript we shall compose Ailamujia distribution with that of power series distribution. This newly developed distribution called Ailamujia power series distribution reduces to four new special lifetime models on simple specific function parametric setting. Apart from this some important mathematical properties in the form of propositions will also be discussed. Furthermore, characterization and some statistical properties that include mgf, moments, and parameter estimation have also been discussed. Finally, the potency of newly proposed model has been analyzed statistically and graphically and it has been established from the statistical analysis that newly proposed model offers a better fit when it comes to model some lifetime data set.

Open access

Abbas Pak

Abstract

Fisher information is of key importance in estimation theory. It is used as a tool for characterizing complex signals or systems, with applications, e.g. in biology, geophysics and signal processing. The problem of minimizing Fisher information in a set of distributions has been studied by many researchers. In this paper, based on some rather simple statistical reasoning, we provide an alternative proof for the fact that Gaussian distribution with finite variance minimizes the Fisher information over all distributions with the same variance.

Open access

M. Hosťovecký and P. Prokop

Abstract

A new phenomenon, which increasingly rises among the young generation all over the world, is Internet addiction. Information and communication technology (ICT) has a major influence not only on individual sectors of the national economy (services, industry, agriculture, etc.), but also on free time activities and interests of the young generation. ICT-related free time activities of the young generation have notably changed over the last decade (Slovakia was connected to the Internet in November 1992). The aim of the research was to determine the symptoms of Internet addiction in Slovak secondary school students, i.e. to detect significant differences between the following: a personality trait – addiction, addiction – age, addiction – a place of residence, etc. The standardized questionnaire was used in all regions of Slovakia. We collected data by means of an online questionnaire over the period of more than six months. The research results show that female have more potential to become addicted than male, which could be caused by feelings and sadness (Ha & Hwang., 2014). Some other significant results show that more extroverted students are less Internet-addicted than their less extroverted counterparts. According to Zamani, extroverts prefer social and face-to-face interaction with others (Zamani et al., 2011). Other questions focused on neuroticism - emotional stability, where more neurotic students were more addicted than less neurotic students. Finally, significant results were related to residence. Findings showed that students who come from cities (towns) had higher symptoms of Internet addiction than villagers. Other details of this research are shown in the results and discussion section.

Open access

J. Jurinová

Abstract

A fluent programming is the programming technique where operations return a value that allows the invocation of another operation. With the fluent programming, it is perfectly natural to end up with one huge statement that is the concatenation of as many operations as you like. The Java Development Kit (JDK) streams (added in Java 8) are designed to support fluent programming. Instead of looping over all elements in the sequence repeatedly (once for filter, then again for map, and eventually for toArray), the chain of filtermapper-collector can be applied to each element in just one pass over the sequence. In this context, we often encounter lambda expressions used to create locally defined anonymous functions. They provide a clear and concise way to represent one method interface using an expression. Oracle claims that use of lambda expressions also improve the collection libraries making it easier to iterate through, filter, and extract data from a collection. In addition, new concurrency features improve performance in multicore environments.

There are multiple ways to traverse, iterate, or loop collection in Java. Therefore, to solve one problem, we have several options for solutions that differ by undeniably increasing of the code readability. Searching for answers to the question of whether these new features really bring performance benefits over conventional way, is the subject of this paper.

Open access

O. Palumbíny

Abstract

The article is focused on the unstability of some group of 4-th ODEs with quasi-derivatives. A sufficient condition of the unstability is followed by proper example.

Open access

Y. Sunecher, N. Mamode Khan and V. Jowaheer

Abstract

Time series of counts occur in many real-life situations where they exhibit various forms of dispersion. To facilitate the modeling of such time series, this paper introduces a flexible first-order integer-valued non-stationary autoregressive (INAR(1)) process where the innovation terms follow a Conway-Maxwell Poisson distribution (COM-Poisson). To estimate the unknown parameters in this model, different estimation approaches based on likelihood and quasi-likelihood formulations are considered. From simulation experiments and a real-life data application, the Generalized Quasi-Likelihood (GQL) approach yields estimates with lower bias than the other estimation approaches.

Open access

D. Luo, J. R. Wang and M. Fečkan

Abstract

In this work, we apply fractional calculus to analyze a class of economic growth modelling (EGM) of the Spanish economy. More precisely, the Grünwald-Letnnikov and Caputo derivatives are used to simulate GDP by replacing the previous integer order derivatives with the help of Matlab, SPSS and R software. As a result, we find that the data raised from the Caputo derivative are better than the data raised from the Grünwald-Letnnikov derivative. We improve the previous result in [12].