A Bibliometric Analysis of Library Collection Utilization: Evidence from Mahajana College Using Multi-Model Statistical Approaches

This study examines library collection utilisation at the Mahajana collection size and evaluates resource effectiveness by analysing circulation data for 36,085 documents. Quantitative techniques such as the Gini Coefficient, Lorenz Curve, Zipf’s Law, Negative Binomial Distribution, and Bradford’s Law assess inequality, distribution patterns, and randomness in usage. The results show pronounced inequality in circulation, with a Gini Coefficient of 0.94, meaning a small portion of the collection accounts for most usage. Notably, 72.15% of documents were unused during the study period. The data partially support the Pareto Principle but reject Price’s Law, indicating usage is spread across a broader academic core rather than a narrow elite subset. In summary, library utilisation at Mahajan’s college is highly skewed, curriculum-driven, and structurally concentrated. These findings offer an empirical basis for evidence-based collection development, weeding, and resource optimisation in academic libraries.