scholarly journals A New Functional Form For Estimating Lorenz Curves

Author(s):  
Sharif Hossain ◽  
Chikayoshi Saeki

<p class="MsoNormal" style="text-align: justify; margin: 0in 33.3pt 0pt 31.05pt;"><span style="font-size: 10pt; mso-bidi-font-size: 12.0pt;"><span style="font-family: Times New Roman;">The Lorenz curve is a most powerful tool in the analysis of the size distribution of income and wealth. In the past decades, many authors have proposed different functional forms for estimating Lorenz curves from grouped data. Most of the functional forms do not fit the data very well for estimating Lorenz curves. That is why, in this paper we proposed a new functional form for estimating Lorenz curves, which provides very good fits?with compared to other functional forms, see for example, Kakwani's and Podder's (1973, 76), Rasche's et all (1980), Kakwani's (1980), Gupta's (1984), and Ortega's (1991) functional forms.<span style="mso-spacerun: yes;">&nbsp; </span>On the basis of the new functional form, we derived the formulae of the Gini, Kakwani, and Chakravarty inequality indices. Empirical verification of the theoretical construct has been done based on the data set from BBS (Bangladesh Bureau of Statistics) publications, "Household Expenditure Survey" corresponding to different years.</span></span></p>

Author(s):  
Sharif Hossain ◽  
Chikayoshi Saeki

<p class="MsoNormal" style="margin: 0in 33.3pt 0pt 31.05pt;"><span style="font-family: &quot;Times New Roman&quot;,&quot;serif&quot;; font-size: 10pt;">The Lorenz curve is a most powerful tool in the analysis of the size distribution of income and wealth. In the past decades, many authors have proposed different functional forms for estimating Lorenz curves from grouped data. Most of the functional forms do not fit the data very well for estimating Lorenz curves. That is why, in this paper we proposed a new functional form for estimating Lorenz curves, which provides very good fits</span><span style="font-family: &quot;MS Mincho&quot;; font-size: 10pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';" lang="JA">?</span><span style="font-family: &quot;Times New Roman&quot;,&quot;serif&quot;; font-size: 10pt;">with compared to other functional forms, see for example, Kakwani's and Podder's (1973, 76), Rasche's et all (1980), Kakwani's (1980), Gupta's (1984), and Ortega's (1991) functional forms.<span style="mso-spacerun: yes;">&nbsp; </span>On the basis of the new functional form, we derived the formulae of the Gini, Kakwani, and Chakravarty inequality indices. Empirical verification of the theoretical construct has been done based on the data set from BBS (Bangladesh Bureau of Statistics) publications, "Household Expenditure Survey" corresponding to different years.</span></p>


2009 ◽  
pp. 160
Author(s):  
Camelia Minoiu ◽  
Sanjay G. Reddy

Poverty and inequality are often estimated from grouped data as complete household surveys are neither always available to researchers nor easy to analyze. In this study we assess the performance of functional forms proposed by Kakwani (1980a) and Villasenor and Arnold(1989) to estimate the Lorenz curve from grouped data. The methods are implemented using the computational tools POVCAL and Sim-SIP, developed and distributed by the World Bank. To identify biases associated with these methods, we use unit data from several household surveys and theoretical distributions. We find that poverty and inequality are better estimated when the true distribution is unimodal than multimodal. For unimodal distributions, biases associated with poverty measures are rarely larger than one percentage point. For data from multi-peaked or heavily skewed distributions, the biases are likely to be higher and of unknown sign.


2012 ◽  
Vol 52 (No. 4) ◽  
pp. 188-196 ◽  
Author(s):  
Y. Lei ◽  
S. Y Zhang

Forestmodellers have long faced the problem of selecting an appropriate mathematical model to describe tree ontogenetic or size-shape empirical relationships for tree species. A common practice is to develop many models (or a model pool) that include different functional forms, and then to select the most appropriate one for a given data set. However, this process may impose subjective restrictions on the functional form. In this process, little attention is paid to the features (e.g. asymptote and inflection point rather than asymptote and nonasymptote) of different functional forms, and to the intrinsic curve of a given data set. In order to find a better way of comparing and selecting the growth models, this paper describes and analyses the characteristics of the Schnute model. This model has both flexibility and versatility that have not been used in forestry. In this study, the Schnute model was applied to different data sets of selected forest species to determine their functional forms. The results indicate that the model shows some desirable properties for the examined data sets, and allows for discerning the different intrinsic curve shapes such as sigmoid, concave and other curve shapes. Since no suitable functional form for a given data set is usually known prior to the comparison of candidate models, it is recommended that the Schnute model be used as the first step to determine an appropriate functional form of the data set under investigation in order to avoid using a functional form a priori.


2021 ◽  
Vol 164 (3-4) ◽  
Author(s):  
Xiaoying Xue ◽  
Guoyu Ren ◽  
Xiubao Sun ◽  
Panfeng Zhang ◽  
Yuyu Ren ◽  
...  

AbstractThe understanding of centennial trends of extreme temperature has been impeded due to the lack of early-year observations. In this paper, we collect and digitize the daily temperature data set of Northeast China Yingkou meteorological station since 1904. After quality control and homogenization, we analyze the changes of mean and extreme temperature in the past 114 years. The results show that mean temperature (Tmean), maximum temperature (Tmax), and minimum temperature (Tmin) all have increasing trends during 1904–2017. The increase of Tmin is the most obvious with the rate of 0.34 °C/decade. The most significant warming occurs in spring and winter with the rate of Tmean reaching 0.32 °C/decade and 0.31 °C/decade, respectively. Most of the extreme temperature indices as defined using absolute and relative thresholds of Tmax and Tmin also show significant changes, with cold events witnessing a more significant downward trend. The change is similar to that reported for global land and China for the past six decades. It is also found that the extreme highest temperature (1958) and lowest temperature (1920) records all occurred in the first half of the whole period, and the change of extreme temperature indices before 1950 is different from that of the recent decades, in particular for diurnal temperature range (DTR), which shows an opposite trend in the two time periods.


2002 ◽  
Vol 12 (9) ◽  
pp. 315-315
Author(s):  
K. Cicak ◽  
K. O'Neill ◽  
R. E. Thorne

Below T=40 K, charge-density wave (CDW) transport in NbSe3 is characterized by two well-defined driving force thresholds ET and ET*. Between these thresholds the CDW moves extremely slowly with creep-like temperature and driving force dependencies. At the same time, the CDW exhibits coherent oscillations with a frequency proportional to the CDW current and having very narrow spectral widths, suggesting that the collective motion is temporally ordered. We have extended our initial work to doped crystals containing isoelectronic (Ta) and nonisoelectronic (Ti) impurities, and to crystals of different thicknesses. These experiments show that the qualitative features are extremely robust, and that the functional form of the creep velocity versus driving force and temperature is consistent across all samples for currents ranging over five orders of magnitude. The temperature dependence is consistent with processes having an energy comparable to the CDW gap, but the field and impurity dependencies are inconsistent with all predicted functional forms for creep in CDWs and related systems, and with our earlier picture of amplitude collapse at each impurity. We compare our results to measurements of creep-like behavior in other CDW and SDW systems, and discuss possible mechanisms.


Author(s):  
Margarete Finger-Ossinger ◽  
Henriette Löffler-Stastka

The required basic skills of European psychotherapists were published by the European Association of Psychotherapy in 2013. One of these abilities is self-reflection. To mentalize oneself, to reflect on what circumstances and experiences in the past and present have led to the present desires, thoughts and convictions is an essential prerequisite for professional work in the psychosocial field. With the help of the thematic analysis a data set of 41 self-reflection reports of students is analysed at the end of the training. Since the training should be evaluated and if necessary optimized, it should be examined which elements of the online preparation course make the selfreflection ability visible. The analysis of the students’ texts gives a clear indication of existing self-reflection skills. It was surprising that for some students, besides the great importance of self-awareness lessons, affective integration into the blended learning program was an essential impulse for self-reflection.


2017 ◽  
Vol 35 (2) ◽  
pp. 307 ◽  
Author(s):  
Jani Ursin

<p style="margin: 0cm 0cm 10pt;"> </p><p class="RESUMENCURSIVA">As in many other European countries also Finnish higher education system has witnessed several reforms over the past decade many of which originate in efforts to make more competitive and affordable higher education system. The aim of this paper is to describe the changes and institutional mergers in particular that have taken place in Finnish higher education and explore what kind of academic identities are constructed amid changes in Finnish higher education. The paper shows that the mergers followed the objectives set by the Finnish Ministry of Education and Culture for the structural development of the higher education system and that the creation of a joint culture for merged institutions was important yet challenging. The paper also argues that due to these external changes in Finnish higher education there is a tendency to move from a traditional notion of an academic toward more hybrid and dynamic understanding of what it is being an academic in the 21st century.</p><p style="margin: 0cm 0cm 10pt;"><span style="line-height: 115%; font-family: 'Times New Roman','serif'; font-size: 12pt; mso-ansi-language: EN-US;" lang="EN-US"><br /></span></p>


Econometrica ◽  
1984 ◽  
Vol 52 (5) ◽  
pp. 1313 ◽  
Author(s):  
Manash Ranjan Gupta

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