scholarly journals Parameter estimate for three-parameter kappa distribution using LHmoments approach

2022 ◽  
Vol 9 (2) ◽  
pp. 104-108
Author(s):  
Zakaria et al. ◽  

The method of higher-order L-moments (LH-moment) was proposed as a more robust alternative compared to classical L-moments to characterize extreme events. The new derivation will be done for Mielke-Johnson’s Kappa and Three-Parameters Kappa Type-II (K3D-II) distributions based on the LH-moments approach. The data of maximum monthly rainfall for Embong station in Terengganu were used as a case study. The analyses were conducted using the classical L-moments method with η=0 and LH-moments methods with η=1, η=2, η=3 and η=4 for a complete data series and upper parts of the distributions. The most suitable distributions were determined based on the Mean Absolute Deviation Index (MADI), Mean Square Deviation Index (MSDI), and Correlation (r). Also, L-moment and LH-moment ratio diagrams were used to represent visual proofs of the results. The analysis showed that LH-moments methods at a higher order of K3D-II distribution best fit the data of maximum monthly rainfalls for the Embong station for the upper parts of the distribution compared to L-moments. The results also proved that whenever η increases, LH-moments reflect more and more characteristics of the upper part of the distribution. This seems to suggest that LH-moments estimates for the upper part of the distribution events are superior to L-moments in fitting the data of maximum monthly rainfalls.

2021 ◽  
Vol 17 (2) ◽  
pp. 166-180
Author(s):  
Busababodhin Piyapatr ◽  
Chiangpradit Monchaya ◽  
Phoophiwfa Tossapol ◽  
Jeong-Soo Park ◽  
Do-ove Manoon ◽  
...  

This article applies the Wakeby distribution (WAD) with high-order L-moments estimates (LH-ME) to annual extreme rainfall data obtained from 99 gauge stations in Thailand. The objectives of this study investigate to obtain appropriate quantile estimates and return levels for several return periods, 2, 5, 10, 25 and 50 years. The 95% confidence intervals for the quantiles determined from the WAD are derived using the bootstrap technique. Isopluvial maps of estimated design values that correspond to selected return periods are presented. The LH-ME results are better than estimates from the more primitive L-moments method for a large majority of the stations considered.


2018 ◽  
Vol 7 (2.15) ◽  
pp. 107
Author(s):  
Zahrahtul Amani Zakaria ◽  
Jarah Moath Ali Suleiman ◽  
Mumtazimah Mohamad

Statistical analysis of extreme events is often carried out to obtain the probability distribution of floods data and then predict the occurrence of floods for a significant return period. L-moments approach is known as the most popular approach in frequency analysis. This paper discusses comparison of the L-moments method with higher order moments (LH-moments) method. LH-moment, a generalization of L-moment, which is proposed based on the linear combinations of higher-order statistics has been used to characterize the upper part of distributions and larger events in flood data. It is observed from a comparative study that the results of the analysis of observed data and the diagram based on the K3D-II distribution using LH-moments method is more efficient and reasonable than the L-moments method for estimating data of the upper part of the distribution events. 


2019 ◽  
Vol 42 ◽  
Author(s):  
Daniel J. Povinelli ◽  
Gabrielle C. Glorioso ◽  
Shannon L. Kuznar ◽  
Mateja Pavlic

Abstract Hoerl and McCormack demonstrate that although animals possess a sophisticated temporal updating system, there is no evidence that they also possess a temporal reasoning system. This important case study is directly related to the broader claim that although animals are manifestly capable of first-order (perceptually-based) relational reasoning, they lack the capacity for higher-order, role-based relational reasoning. We argue this distinction applies to all domains of cognition.


2019 ◽  
Vol 290 ◽  
pp. 02006
Author(s):  
Anca Mocan ◽  
Anca Draghici

Lack of appropriate warehouse ergonomics is one of the leading causes of worker injuries in industry environments. As management teams are trying to reduce the cost of doing business, they look to worker’s health statistics and realize they must improve their way of operating. The paper presents a warehouse analysis done at the request of the management team of a Belgian manufacturing plant. The factory’s warehouse was audited with focus on Kanban bin weight, storage rack height and rack width to assess the ergonomic strain it causes on workers. The paper then presents possible automation options in order to find the best fit to reduce ergonomic impact, while also optimizing the total investment cost.


2008 ◽  
Vol 10 (2) ◽  
pp. 153-162 ◽  
Author(s):  
B. G. Ruessink

When a numerical model is to be used as a practical tool, its parameters should preferably be stable and consistent, that is, possess a small uncertainty and be time-invariant. Using data and predictions of alongshore mean currents flowing on a beach as a case study, this paper illustrates how parameter stability and consistency can be assessed using Markov chain Monte Carlo. Within a single calibration run, Markov chain Monte Carlo estimates the parameter posterior probability density function, its mode being the best-fit parameter set. Parameter stability is investigated by stepwise adding new data to a calibration run, while consistency is examined by calibrating the model on different datasets of equal length. The results for the present case study indicate that various tidal cycles with strong (say, >0.5 m/s) currents are required to obtain stable parameter estimates, and that the best-fit model parameters and the underlying posterior distribution are strongly time-varying. This inconsistent parameter behavior may reflect unresolved variability of the processes represented by the parameters, or may represent compensational behavior for temporal violations in specific model assumptions.


2018 ◽  
Vol 10 (2) ◽  
pp. 210-233 ◽  
Author(s):  
Astrid De Wit

Abstract This paper offers a fresh perspective on (restrictions on) aspectual coercion, thereby focusing on the essentially epistemic import of aspectual constructions. The case study that I will discuss is the unexpected use of the simple tenses for ongoing event reports in sentences involving full-verb inversion. I will argue that this attestation of the simple present/past in inverted sentences can be analyzed as a kind of aspectual mismatch between the higher-order construction and the embedded tenses. Yet at a more basic, epistemic level of analysis, there is no mismatch: the full-verb inversion construction and the embedded tenses are similar in the sense that both report events that are conceived of as fully and instantly identifiable.


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