The a priori procedure (APP) for estimating median under skew normal settings with applications in economics and finance

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Argitaratua izan da:Asian Journal of Economics and Banking (AJEB) vol. 9, no. 1 (2025), p. 144-158
Egile nagusia: Hu, Liqun
Beste egile batzuk: Wang, Tonghui, Trafimow, David, Choy, ST Boris, Chen, Xiangfei, Wang, Cong, Tong, Tingting
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Emerald Group Publishing Limited
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LEADER 00000nab a2200000uu 4500
001 3178043481
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022 |a 2615-9821 
022 |a 2633-7991 
022 |a 2588-1396 
024 7 |a 10.1108/AJEB-09-2023-0087  |2 doi 
035 |a 3178043481 
045 2 |b d20250101  |b d20250430 
100 1 |a Hu, Liqun  |u New Mexico State University, Las Cruces, New Mexico, USA 
245 1 |a The <i>a priori</i> procedure (APP) for estimating median under skew normal settings with applications in economics and finance 
260 |b Emerald Group Publishing Limited  |c 2025 
513 |a Journal Article 
520 3 |a PurposeThe authors’ conclusions are based on mathematical derivations that are supported by computer simulations and three worked examples in applications of economics and finance. Finally, the authors provide a link to a computer program so that researchers can perform the analyses easily.Design/methodology/approachBased on a parameter estimation goal, the present work is concerned with determining the minimum sample size researchers should collect so their sample medians can be trusted as good estimates of corresponding population medians. The authors derive two solutions, using a normal approximation and an exact method.FindingsThe exact method provides more accurate answers than the normal approximation method. The authors show that the minimum sample size necessary for estimating the median using the exact method is substantially smaller than that using the normal approximation method. Therefore, researchers can use the exact method to enjoy a sample size savings.Originality/valueIn this paper, the a priori procedure is extended for estimating the population median under the skew normal settings. The mathematical derivation and with computer simulations of the exact method by using sample median to estimate the population median is new and a link to a free and user-friendly computer program is provided so researchers can make their own calculations. 
653 |a Skewness 
653 |a Standard deviation 
653 |a Sample size 
653 |a Statistics 
653 |a Random variables 
653 |a Confidence intervals 
653 |a Normal distribution 
653 |a Finance 
653 |a Economics 
700 1 |a Wang, Tonghui  |u Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico, USA 
700 1 |a Trafimow, David  |u Department of Psychology, NMSU, Las Cruces, New Mexico, USA 
700 1 |a Choy, ST Boris  |u Discipline of Business Analytics, The University of Sydney, Sydney, Australia 
700 1 |a Chen, Xiangfei  |u Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico, USA 
700 1 |a Wang, Cong  |u Mathematical and Statistical Sciences, University of Nebraska Omaha, Omaha, Nebraska, USA 
700 1 |a Tong, Tingting  |u Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico, USA 
773 0 |t Asian Journal of Economics and Banking (AJEB)  |g vol. 9, no. 1 (2025), p. 144-158 
786 0 |d ProQuest  |t Asian & European Business Collection 
856 4 1 |3 Citation/Abstract  |u https://www.proquest.com/docview/3178043481/abstract/embedded/H09TXR3UUZB2ISDL?source=fedsrch 
856 4 0 |3 Full Text  |u https://www.proquest.com/docview/3178043481/fulltext/embedded/H09TXR3UUZB2ISDL?source=fedsrch 
856 4 0 |3 Full Text - PDF  |u https://www.proquest.com/docview/3178043481/fulltextPDF/embedded/H09TXR3UUZB2ISDL?source=fedsrch