A simple method for estimating the Lorenz curve

Sitthiyot, Thitithep; Holasut, Kanyarat

doi:10.1057/s41599-021-00948-x

Cited by 23 publications

(26 citation statements)

References 33 publications

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“…This would give us the actual Lorenz plot for each type of sports. Next, we fit the estimated Lorenz curve to the actual Lorenz plot for each type of 11 professional sports by employing a parametric functional form which has a closed-form expression for the Gini index developed by Sitthiyot and Holasut (2021) . This specified functional form is constructed based on the weighted average of 2 well-known functional forms for estimating the Lorenz curve which are the exponential function

and the functional form implied by Pareto distribution

.…”

Section: Methodsmentioning

confidence: 99%

“…According to Sitthiyot and Holasut (2021) , the parameter

is the weight that controls the curvature of the estimated Lorenz curve such that the Gini index remains constant, whereas the parameter P represents the degree of inequality in the distribution of the athlete’s salary. The values of parameters

and P can vary depending upon the curvature of the estimated Lorenz curve and the degree of inequality in the distribution of the athlete’s salary for each professional sport.…”

Section: Methodsmentioning

confidence: 99%

“…Given the estimated Lorenz curve for each of 11 professional sports, we can calculate the area under the curve by integrating the estimated Lorenz equation from 0 to 1

. Based on the parametric functional form proposed by Sitthiyot and Holasut (2021) as shown in Eq. (1) , the area under the curve equals

.…”

Section: Methodsmentioning

confidence: 99%

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A quantitative method for benchmarking fair income distribution

Sitthiyot

Holasut

2022

Heliyon

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and the functional form implied by Pareto distribution

.…”

Section: Methodsmentioning

confidence: 99%

“…According to Sitthiyot and Holasut (2021) , the parameter

and P can vary depending upon the curvature of the estimated Lorenz curve and the degree of inequality in the distribution of the athlete’s salary for each professional sport.…”

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

A quantitative method for benchmarking fair income distribution

Sitthiyot

Holasut

2022

Heliyon

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“…Other more general (but not necessarily symmetric) deformation operators could be defined, e.g., exponential-Pareto ones, as used for the example of the estimation of Lorenz curves [17].…”

Section: A Ambiguity About Fωmentioning

confidence: 99%

Distributionally robust trading strategies for renewable energy producers

Pinson

2022

Preprint

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Renewable energy generation is to be offered through electricity markets, quite some time in advance. This then leads to a problem of decision-making under uncertainty, which may be seen as a newsvendor problem. Contrarily to the conventional case for which underage and overage penalties are known, such penalties in the case of electricity markets are unknown, and difficult to estimate. In addition, one is actually only penalized for either overage or underage, not both. Consequently, we look at a slightly different form of a newsvendor problem, for a price-taker participant offering in electricity markets, which we refer to as Bernoulli newsvendor problem. After showing that its solution is similar to the classical newsvendor problem, we then introduce distributionally robust versions, with ambiguity possibly about both the probabilistic forecasts for power generation and the chance of success of the Bernoulli variable. All these distributionally robust Bernoulli newsvendor problems admit closed-form solutions. We finally use simulation studies, as well as a real-world case-study application, to illustrate the workings and benefits from the approach.

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“…It measures the market concentration by showing the percentage of sellers that control the total revenue obtained from a product in a market. Following Sitthiyot, and Holasut (2021), using the equations in (1) and ( 2 Where: P represents the degree of inequality in income distribution as measured by the Gini index; X represents the function of variable of interest (revenue, output)…”

Section: Analytical Framework Gini Coefficient/ Lorenz Curvementioning

confidence: 99%

Demand and Market Concentration for Branded Sausage Rolls in Oyo State, Nigeria

Adedeji

Sowunmi

2022

AGRISE

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<p>Branded sausage is one of the fast foods, and the demand for it in Nigeria is increasing substantially due to growing household affluence and its availability and affordability. The study examined the market concentration and the need for branded sausage rolls in Oyo State using 290 respondents (buyers and sellers) collected through a three-stage sampling procedure. The study affirmed that Gala (small and big) had the highest percentage (41.3%) of consumers while bigi and the rite spicy had 22.7% and 21.4%, respectively. The yum-yum brand had the lowest consumers percentage (1.8%). The average amount consumers spent on gala (big and small size) per month was ₦824.18 followed by rite spicy and bigi with a moderate amount of ₦582.98 and ₦520 per month. Gala (small and big) had the highest inequality in sales revenue (0.42) while bigi had the least (0.26). The market concentration of gala was the highest (50%) while bigi had the least (40%). The market share of the gala (big and small size) was 54.4 percent followed by rite spicy and bigi with 23.9 and 21.1 percent, respectively. Monthly income, taste, quality, price, and availability influenced consumers' preference for sausage rolls while monthly payment, household size and brand consumed determined consumers' monthly expenditure on sausage rolls in the study area. The yum-yum brand had the lowest consumer’s percentages in the sausage market at 1.8%. Producers of other sausage rolls brands should develop strategies that would ensure fair competition with other brands so that the dominance of some brands can be reduced to prevent the emergence of a monopolist in the sausage rolls market. The need for market segmentation based on consumers’ income is recommended.</p>

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A simple method for estimating the Lorenz curve

Cited by 23 publications

References 33 publications

A quantitative method for benchmarking fair income distribution

A quantitative method for benchmarking fair income distribution

Distributionally robust trading strategies for renewable energy producers

Demand and Market Concentration for Branded Sausage Rolls in Oyo State, Nigeria

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