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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

Vol.32 No.1

Hamid Ghorbani(University of Kashan) pp.1-11 https://doi.org/10.7468/jksmeb.2025.32.1.1
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Abstract

In the frequency analysis of rainfall amounts for arid and semi-arid regions, it is common to observe zero values for dry days. Since continuous distributions cannot describe such data, a discrete-continuous mixture version of standard distributions is defined to model the data. In this paper, the zero-adjusted versions of several distributions such as gamma, inverse Gaussian, log-normal, Weibull, log-logistic, generalized gamma, and generalized inverse Gaussian were fitted to monthly rainfall. The models were evaluated using a combination of the K-S test and AIC criteria, which indicated that the zero-adjusted gamma distribution provided the most satisfactory fit to the data.

Gagandeep Singh(Khalsa College) ; Gurcharanjit Singh(G.N.D.U. College) pp.13-21 https://doi.org/10.7468/jksmeb.2025.32.1.13
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Abstract

In this paper, we introduce a new and generalized subclass of p-valently close-to-convex functions defined with subordination. We establish the coefficient estimates, inclusion relation, distortion theorem and argument theorem for this class. Some earlier known results follow as consequences.

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Abstract

We examine the length theory of line segments in the Lorentzian plane and the isotropic plane, with emphases the definition of distance.

Chinmay Biswas(Nabadwip Vidyasagar College) ; Bablu Chandra Das(Nabadwip Vidyasagar College) pp.39-52 https://doi.org/10.7468/jksmeb.2025.32.1.39
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Abstract

Belaïdi et al. [3] have introduced the idea (α,β,γ)-order and (α,β,γ)-lower order of meromorphic function, where α∈L₁-class, β∈L₂-class, γ∈L₃-class. In order to make some progresses in the study of growth analysis of meromorphic functions, here in this paper, we have discussed on the relative (α,β,γ)-order and relative (α,β,γ)-lower order of a meromorphic function with respect to an entire function. Then we have investigated some basic properties of meromorphic functions using these definitions under somewhat different conditions.

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Abstract

We consider the slotted Aloha-based access network where multiple transmitters try to send deadline-constrained packets to the access point. The delivery deadline of packets may be generally a random variable depending on the type of traffic or their urgency. The successful delivery probability (SDP), which is defined as the long-run fraction of packets successfully delivered to the receiver before their maximum allowable deadline, is a suitable measure for evaluating the performance of time-critical traffic. We derive the closed-form expression for the SDP for the slotted Aloha-based access network under the assumptions of MPR and general delivery deadline distribution.

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics