Jurnal Teknologi Riset Terapan
Vol 4 No 1 (2026): Januari

Generalized Summability Methods for Failure Rate and Maintainability Analysis

Avishek Shah (Rajarshi Janak University, Janakpurdham, Nepal)
Prem Kumar Nayak (Rajarshi Janak University, Janakpurdham, Nepal)
Suresh Kumar Sahani (Rajarshi Janak University, Janakpurdham, Nepal)



Article Info

Publish Date
18 Jan 2026

Abstract

Purpose: This study develops a transparent framework for applying generalized summability methods to sequences of failure-rate and maintainability estimates produced from finite, irregular and noisy operational records.Research Methodology: Cesàro, weighted, Nörlund and exponential means are compared as regularizing transformations rather than as substitutes for a reliability model. The framework specifies exposure-aware rate construction, treatment of censoring and missing intervals, regularity and stability checks, delay diagnostics and a validation design based on simulated sequences, illustrated with model-based curves and a worked calculation.Results: Averaging reduced high-frequency variation in the illustrative sequences but introduced lag and blurred change points. In the worked example, the unweighted mean of interval rates was 0.0167 per hour while the exposure-pooled rate was 0.0133 per hour, showing that the weighting rule can silently redefine the target quantity.Conclusions: Summability is useful as a monitoring layer only after the estimand, exposure and censoring have been defined correctly, and raw values and uncertainty must remain visible.Limitations: No field dataset is used, and all curves are illustrative.Contributions: The study joins classical summability theory with reliability practice through a reproducible decision framework, selection criteria and validation safeguards.

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Journal Info

Abbrev

jatra

Publisher

Subject

Computer Science & IT Electrical & Electronics Engineering Engineering Industrial & Manufacturing Engineering Mechanical Engineering

Description

Jurnal Teknologi Riset Terapan (JATRA) adalah jurnal peer-review yang menerbitkan artikel penelitian asli dan berkualitas di bidang teknologi riset terapan. Jurnal ini bertujuan menjembatani kesenjangan antara teori dan praktik dalam ilmu pengetahuan dan teknologi agar dapat diterapkan dalam ...