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All Journal Journal of Multidisciplinary Science: MIKAILALSYS Mikailalsys Journal of Mathematics and Statistics
Ayo, Ayenigba Alfred
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Agriculture, Biological Sciences & Forestry Chemical Engineering, Chemistry & Bioengineering Engineering Environmental Science Mathematics Mechanical Engineering Physics Social Sciences Other

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A Study of Selected Crimes Committed in Nigeria Ayo, Ayenigba Alfred; Michael, Ajao Olutunde
Journal of Multidisciplinary Science: MIKAILALSYS Vol 3 No 2 (2025): Journal of Multidisciplinary Science: MIKAILALSYS
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mikailalsys.v3i2.5310

Abstract

This study conducts a detailed statistical analysis of criminal offenses across Nigeria's 36 states and the Federal Capital Territory (FCT), using data from the National Bureau of Statistics (NBS). Focusing on four primary crime categories, the research highlights significant regional disparities in crime frequency and nature. Lagos State is identified as the most affected area, with nearly 50,000 reported cases, attributed to its dense population and economic significance. The Federal Capital Territory and Cross River State also show high crime rates, though notably lower than Lagos. In contrast, states like Kebbi, Jigawa, and Zamfara report minimal criminal activity. Regionally, the South West zone records the highest crime frequencies, particularly in offenses against property and persons, while the North Central zone is predominantly affected by property crimes. Chi-Square analysis (χ² = 8171.757, p < 0.001) confirms a significant association between crime types and geographical zones. Correlation analysis reveals strong positive relationships between certain crime types, such as offenses against persons and property (r = 0.783). These findings underscore the complex and regionally varied nature of crime in Nigeria, highlighting the need for tailored, location-specific law enforcement and crime prevention strategies. The study provides crucial insights for policymakers and law enforcement agencies, emphasizing the importance of considering regional socio-economic and demographic factors in crime reduction efforts.
The Binosson Distribution: A Unified Probabilistic Framework Bridging the Binomial and Poisson Models Ayo, Ayenigba Alfred; Emmanuel, Amoyedo Femi; Adebisi, Afariogun David
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 2 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i2.5318

Abstract

Classical Binomial and Poisson distributions, constrained by fixed trials and static event rates, falter in modeling modern datasets with dynamic parameters or contextual dependencies (e.g., variable infection rates, covariate-influenced risks). This paper introduces the Binosson Distribution, a hybrid framework unifying Binomial trials and Poisson processes through dynamic parameterization of trial counts (n) and designed to address event rates (λ). The distribution has been proposed to bridge the gap between these two distributions, incorporating aspects of both. Binomial-cum-Poisson distributions are modified to obtain a distribution that will be able to solve the probability problems that lies between the two distributions. Binosson is the result from the product of Binomial and Poisson distributions. Statistical properties such as mean, variance, standard deviation, skewedness and kurtosis were also derived.
Co-Authors Adebisi, Afariogun David Emmanuel, Amoyedo Femi Michael, Ajao Olutunde