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Paper Abstract and Keywords
Presentation 2026-03-27 15:55
A Note on Maximum Spacing Estimation for NHPP-Based Software Reliability Models
Jingchi Wu, Tadashi Dohi, Junjun Zheng, Hiroyuki Okamura (Hiroshima Univ.) R2025-61
Abstract (in Japanese) (See Japanese page) 
(in English) Non-homogeneous Poisson process (NHPP) is the most widely used stochastic model in software reliability. The maximum likelihood estimation (MLE) is useful when the likelihood function of NHPP is available. However, when the intensity function of NHPP is sufficiently small regarded as 0, it leads to an error in numerical computation and fails to conduct the MLE. Furthermore, in some generalized software reliability models, it is quite hard to obtain the likelihood function. In this paper, we apply the maximum spacing estimation on NHPP-based software reliability models with finite mean value function. Our maximum spacing estimation method provides the parameter estimation without the likelihood function and intensity function in NHPP. Dissimilar to the existing likelihood-free parameter estimation methods, such as least squares estiamtion, our method can yield an estimator that is consistent with the underlying NHPP probability law. We demonstrate the predictive performance of our method through real-data analysis.
Keyword (in Japanese) (See Japanese page) 
(in English) Software Reliability / NHPP / Parameter Estimation / Maximum Spacing Estimation / Least Squares Estimation / Maximum Likelihood Estimation / /  
Reference Info. IEICE Tech. Rep., vol. 125, no. 428, R2025-61, pp. 39-44, March 2026.
Paper # R2025-61 
Date of Issue 2026-03-20 (R) 
ISSN Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF R2025-61

Conference Information
Committee R  
Conference Date 2026-03-27 - 2026-03-27 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English) Reliability of Electromechanical Devices, Reliability of Computer System, Reliability General 
Paper Information
Registration To R 
Conference Code 2026-03-R 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Note on Maximum Spacing Estimation for NHPP-Based Software Reliability Models 
Sub Title (in English)  
Keyword(1) Software Reliability  
Keyword(2) NHPP  
Keyword(3) Parameter Estimation  
Keyword(4) Maximum Spacing Estimation  
Keyword(5) Least Squares Estimation  
Keyword(6) Maximum Likelihood Estimation  
Keyword(7)  
Keyword(8)  
1st Author's Name Jingchi Wu  
1st Author's Affiliation Hiroshima University (Hiroshima Univ.)
2nd Author's Name Tadashi Dohi  
2nd Author's Affiliation Hiroshima University (Hiroshima Univ.)
3rd Author's Name Junjun Zheng  
3rd Author's Affiliation Hiroshima University (Hiroshima Univ.)
4th Author's Name Hiroyuki Okamura  
4th Author's Affiliation Hiroshima University (Hiroshima Univ.)
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Speaker Author-1 
Date Time 2026-03-27 15:55:00 
Presentation Time 25 minutes 
Registration for R 
Paper # R2025-61 
Volume (vol) vol.125 
Number (no) no.428 
Page pp.39-44 
#Pages 6 
Date of Issue 2026-03-20 (R) 

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