Search results for: Edgeworth%20expansions

Authors: Edlira Donefski, Tina Donefski, Lorenc Ekonomi

Abstract:

Edgeworth Approximation, Bootstrap, and Monte Carlo Simulations have considerable impacts on achieving certain results related to different problems taken into study. In our paper, we have treated a financial case related to the effect that has the components of a cash-flow of one of the most successful businesses in the world, as the financial activity, operational activity, and investment activity to the cash and cash equivalents at the end of the three-months period. To have a better view of this case, we have created a vector autoregression model, and after that, we have generated the impulse responses in the terms of asymptotic analysis (Edgeworth Approximation), Monte Carlo Simulations, and residual bootstrap based on the standard errors of every series created. The generated results consisted of the common tendencies for the three methods applied that consequently verified the advantage of the three methods in the optimization of the model that contains many variants.

Keywords: autoregression, bootstrap, edgeworth expansion, Monte Carlo method

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Authors: Edlira Donefski, Lorenc Ekonomi, Tina Donefski

Abstract:

Edgeworth approximation is one of the most important statistical methods that has a considered contribution in the reduction of the sum of standard deviation of the independent variables’ coefficients in a Quantile Regression Model. This model estimates the conditional median or other quantiles. In this paper, we have applied approximating statistical methods in an economical problem. We have created and generated a quantile regression model to see how the profit gained is connected with the realized sales of the cosmetic products in a real data, taken from a local business. The Linear Regression of the generated profit and the realized sales was not free of autocorrelation and heteroscedasticity, so this is the reason that we have used this model instead of Linear Regression. Our aim is to analyze in more details the relation between the variables taken into study: the profit and the finalized sales and how to minimize the standard errors of the independent variable involved in this study, the level of realized sales. The statistical methods that we have applied in our work are Edgeworth Approximation for Independent and Identical distributed (IID) cases, Bootstrap version of the Model and the Edgeworth approximation for Bootstrap Quantile Regression Model. The graphics and the results that we have presented here identify the best approximating model of our study.

Keywords: bootstrap, edgeworth approximation, IID, quantile

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Authors: Al. Harshan, Hazamah Ali Mahdi

Abstract:

The Big House literature embodies Irish history. It requires a special dimension of moral and social significance in relation to its owners. The Big House is a metaphor for the decline of the protestant Ascendancy that ruled in a catholic country and oppressed a native people. In the tradition of the Big House fiction, Maria Edgeworth's Castle Rackrent and the Absentee explore the effect of the Anglo-Irish protestant Ascendancy as it governed and misgoverned Ireland. Edgeworth illustrates the tradition of the Big House as a symbol of both a personal and historical theme. This paper provides a reading of Castle Rackrent and The Absentee from a post-colonial perspective. The paper maintains that Edgeworth's novel contain elements of a radical critique of the colonialist enterprise. In our postcolonial reading of Maria Edgeworth's novels, one that goes beyond considering works as those of Sir Walter Scoot, regional evidence has been found of Edgeworth's colonial ideology. The significance of Castle Rackrent lies mainly in the fact that is the first English novel to speak in the voice of the colonized Irish. What is more important is that the irony and the comic aspect of the novel comes from its Irish narrator (Thady Quirk) and its Irish setting Ireland. Edgeworth reveals the geographical 'other' to her English reader, by placing her colonized Irish narrator and his son, Jason Quirk, in a position of inferiority to emphasize the gap between Englishness and Irishness. Furthermore, this satirical aspect is a political one. It works to create and protect the superiority of the domestic English reader over the Irish subject. In other words, the implication of the colonial system of the novel and of its structure of dominance and subordination is overlooked by its comic dimension. The matrimonial plot in the Absentee functions as an imperial plot, constructing Ireland as a complementary but ever unequal partner in the family of Great Britain. This imperial marriage works hegemonically to produce the domestic stability considered so crucial to national and colonial stability. Moreover, in order to achieve her proper imperial plot, Edgeworth reconciliation of England and Ireland is seen in the marriage of the Anglo-Irish (hero/Colambre) with the Irish (heroine/Grace Nugent), and the happy bourgeois family; consequently, it becomes the model for colonizer-colonized relationships. Edgeworth must establish modes of legitimate behavior for women and men. The Absentee explains more purposely how familial reorganization is dependent on the restitution of masculine authority and advantage, particularly for Irish community.

Keywords: Maria Edgeworth, post-colonial, reading, Irish

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Authors: Gubhinder Kundhi, Paul Rilstone

Abstract:

It is well established that Instrumental Variable (IV) estimators in the presence of weak instruments can be poorly behaved, in particular, be quite biased in finite samples. Finite sample approximations to the distributions of these estimators are obtained using Edgeworth and Saddlepoint expansions. Departures from normality of the distributions of these estimators are analyzed using higher order analytical corrections in these expansions. In a Monte-Carlo experiment, the performance of these expansions is compared to the first order approximation and other methods commonly used in finite samples such as the bootstrap.

Keywords: bootstrap, Instrumental Variable, Edgeworth expansions, Saddlepoint expansions

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Authors: Gubhinder Kundhi, Paul Rilstone

Abstract:

Refined procedures for higher-order asymptotic theory for non-linear models are developed. These include a new method for deriving stochastic expansions of arbitrary order, new methods for evaluating the moments of polynomials of sample averages, a new method for deriving the approximate moments of the stochastic expansions; an application of these techniques to gather improved inferences with the weak instruments problem is considered. It is well established that Instrumental Variable (IV) estimators in the presence of weak instruments can be poorly behaved, in particular, be quite biased in finite samples. In our application, finite sample approximations to the distributions of these estimators are obtained using Edgeworth and Saddlepoint expansions. Departures from normality of the distributions of these estimators are analyzed using higher order analytical corrections in these expansions. In a Monte-Carlo experiment, the performance of these expansions is compared to the first order approximation and other methods commonly used in finite samples such as the bootstrap.

Keywords: edgeworth expansions, higher order asymptotics, saddlepoint expansions, weak instruments

Procedia PDF Downloads 248