On Certain Mathematical Properties of Demand Curves of Constant Elasticity

1930 ◽  
Vol 12 (1) ◽  
pp. 181
Author(s):  
Warren C. Waite ◽  
Alexander Sturges
2010 ◽  
Vol 2 (4) ◽  
pp. 247-280 ◽  
Author(s):  
Luca Guerrieri ◽  
Christopher Gust ◽  
J. David López-Salido

We develop and estimate an open economy New Keynesian Phillips Curve (NKPC) in which variable demand elasticities give rise to movements in desired markups in response to changes in competitive pressure from abroad. A parametric restriction yields the standard NKPC under constant elasticity and no role for foreign competition to influence domestic inflation. Foreign competition plays an important role in accounting for the behavior of traded goods price inflation. Foreign competition accounted for more than half of a 4 percentage point decline in domestic goods price inflation in the 1990s. Our results also provide evidence against demand curves with a constant elasticity. (JEL E12, E22, E31, F14, F41)


Author(s):  
Robert C Feenstra ◽  
Gordon H. Hanson ◽  
Songhua Lin

Abstract In this paper, we estimate the benefits to countries that purchase goods from China by having access to intermediary services provided in Hong Kong. Traders in Hong Kong supply information on markets and producers in China, which provides welfare gains to foreign firms using these services. During the 1990s, Hong Kong intermediated about one-half of the goods that China exported to the rest of the world. Using constant elasticity demand curves, we find that the gains to intermediary services provided by Hong Kong are roughly equal to the value of these Hong Kong re-exports, and four to five times larger than the markups earned in Hong Kong. Using a linear approximation to the demand curves instead, we find that the gains are one-quarter as much as the value of re-exports, or slightly larger than the markups.


2019 ◽  
Vol XVI (2) ◽  
pp. 1-11
Author(s):  
Farrukh Jamal ◽  
Hesham Mohammed Reyad ◽  
Soha Othman Ahmed ◽  
Muhammad Akbar Ali Shah ◽  
Emrah Altun

A new three-parameter continuous model called the exponentiated half-logistic Lomax distribution is introduced in this paper. Basic mathematical properties for the proposed model were investigated which include raw and incomplete moments, skewness, kurtosis, generating functions, Rényi entropy, Lorenz, Bonferroni and Zenga curves, probability weighted moment, stress strength model, order statistics, and record statistics. The model parameters were estimated by using the maximum likelihood criterion and the behaviours of these estimates were examined by conducting a simulation study. The applicability of the new model is illustrated by applying it on a real data set.


2014 ◽  
Author(s):  
Ankit Jain ◽  
Prasanna L. Tantri ◽  
Ramabhadran S. Thirumalai
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