2013
DOI: 10.3390/e15114634
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Law of Multiplicative Error and Its Generalization to the Correlated Observations Represented by the q-Product

Abstract: The law of multiplicative error is presented for independent observations and correlated observations represented by the q-product, respectively. We obtain the standard log-normal distribution in the former case and the log-q-normal distribution in the latter case. Queirós' q-log normal distribution is also reconsidered in the framework of the law of error. These results are presented with mathematical conditions to give rise to these distributions.

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Cited by 3 publications
(1 citation statement)
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“…The concept of likelihood structure in arranged tests has been initially thoroughly explored discussed by Fisher (1938) (as cited in Suyari, 2013), who analyzes the impact of randomization in the determination of a section from the entire populace, which offers a substantial technique for estimating the measure of error committed. Simple random samples (SRS) are exceptionally difficult to accomplish as a general rule (because of defective testing outlines, non-reaction, etc.)…”
Section: Literature Review Cluster Samplingmentioning
confidence: 99%
“…The concept of likelihood structure in arranged tests has been initially thoroughly explored discussed by Fisher (1938) (as cited in Suyari, 2013), who analyzes the impact of randomization in the determination of a section from the entire populace, which offers a substantial technique for estimating the measure of error committed. Simple random samples (SRS) are exceptionally difficult to accomplish as a general rule (because of defective testing outlines, non-reaction, etc.)…”
Section: Literature Review Cluster Samplingmentioning
confidence: 99%