Abstract: This paper describes how dynamic questions for testing in SQL are being created, genera... more Abstract: This paper describes how dynamic questions for testing in SQL are being created, generated and applied into practice at a Distributed e-Testing Cluster–DeTC. As a result, the learners receive unique testing questions, while the database with tests does not grow ...
This paper describes a multilingual graphic editor for creation of circuits, drafts and graphics ... more This paper describes a multilingual graphic editor for creation of circuits, drafts and graphics in such subject areas where it is possible to pre-define the composite graphic elements. The database with testing questions stores only the indices of the composite graphic elements, their coordinates, size and the connections among them. As a result we have a substantial decrease of the size of the database, the data transferred to the learners and, consequently, the time required for visualization of the testing questions on-line. Another important contribution is the opportunities to dynamically generate circuits, drafts and graphics in a number of cases, thus decreasing the number of questions, authored in advance. The graphic editor is developed as an extension to the Dynamic Test Development Tool in Distributed e-Testing Cluster. It is multilingual, i.e. all the elements of the user interface (menus and buttons) are parameterized, with the actual texts of the supported languages s...
In this paper we consider an application to the debugging theory of a class of cumulative exponen... more In this paper we consider an application to the debugging theory of a class of cumulative exponentiated exponential–Poisson distribution functions introduced by Ramos, Dey, Louzada and Lachos. By this family of cumulative distribution functions we study the Hausdorff approximation of the shifted Heaviside step function. Numerical examples, illustrating our results using the programming environment Mathematica are presented. As application in the field of debugging and test theory are given examples with real data including compatibility modifications, operating system upgrade and signaling message processing from year 2000 using the new software reliability model. AMS Subject Classification: 68N30, 41A46
In this paper we introduce and consider a new class of cumulative distribution functions. This cl... more In this paper we introduce and consider a new class of cumulative distribution functions. This class belongs to the important class of functions arising from the theory of impulse techniques, neural networks and debugging theory. By this family we study the Hausdorff approximation of the impulse function σ(t). Numerical examples, illustrating our results using the programming environment CAS MATHEMATICA are presented. AMS Subject Classification: 41A46
In this paper we study the one–sided Hausdorff approximation of the shifted Heaviside step functi... more In this paper we study the one–sided Hausdorff approximation of the shifted Heaviside step function by a class of the Zubair–family of cumulative distribution with baseline Ghosh–Bourguignon’s extended Burr XII c.d.f. The estimates of the value of the best Hausdorff approximation obtained in this article can be used in practice as one possible additional criterion in ”saturation” study. We will illustrate the advances of this new model for approximation and modelling of data for Witty worm for entire world and for USA [1] (see, also [16]) and ”cancer data” (for some details see, [19], [20]. Numerical examples, illustrating our results are presented using programming environment CAS Mathematica. AMS Subject Classification: 68N30, 41A46
International journal of pure and applied mathematics, 2018
In this paper the Hausdorff approximation of the Heaviside step function by a new Modified Laplac... more In this paper the Hausdorff approximation of the Heaviside step function by a new Modified Laplace Cumulative Distribution Function is considered and precise upper and lower bounds for the one–sided Hausdorff distance are obtained. Numerical examples illustrating the obtained results are given too. AMS Subject Classification: 68N30, 41A46
International journal of differential equations and applications, 2019
In [1] the authors proposed a new ”transmuted transmuted – G (TT–G) family” of distributions.The ... more In [1] the authors proposed a new ”transmuted transmuted – G (TT–G) family” of distributions.The authors’ assertion that probability distribution (in some particular cases) pro-duces very good results in approximating specific data from different fields such aspopulation dynamics, biostatistics, survival analysis and others has encouraged us toconduct further studies on ” saturation ” in Hausdorff sense of the corresponding com-mutative function to the horizontal asymptote.We also analyze some experimental data.The experiments show that in some cases the use of the model proposed in [1] andanalyzed in this article with ”respect to the Hausdorff distance” is satisfactory.Numerical examples, illustrating our results are presented using programming en-vironment CAS Mathematica.
In this paper we study the one–sided Hausdorff approximation of the shifted Heaviside step functi... more In this paper we study the one–sided Hausdorff approximation of the shifted Heaviside step function by a family of Odd Burr III Weibull (ODBW) cumulative sigmoid. The estimates of the value of the best Hausdorff approximation obtained in this article can be used in practice as one possible additional criterion in ”saturation” study. Application for the approximating cdf of the number of Bitcoin received per address [17] is also discussed. Numerical examples, illustrating our results are presented using programming environment CAS Mathematica. AMS Subject Classification: 68N30, 41A46
In this paper we study the Hausdorff approximation of the shifted Heaviside step function ht0(t) ... more In this paper we study the Hausdorff approximation of the shifted Heaviside step function ht0(t) by sigmoidal function based on the Lee–Chang–Pham– Song cumulative function and find an expression for the error of the best approximation. We give real examples with small on–line data provided by IBM entry software package using the model. The potentiality of the software reliability models is analyzed. Lee–Chang–Pham–Song’s idea of including the characteristic t (the time when debugging starts after modifying the code causing syntax errors) in the study of models in debugging theory can be successfully expanded. For instance, for the Goel (1980) software reliability model. AMS Subject Classification: 41A46
International journal of differential equations and applications, 2021
In 2021 Oluyede, Chipepa and Wanduku \cite{Olu} developed a new generalization of the Weibull--To... more In 2021 Oluyede, Chipepa and Wanduku \cite{Olu} developed a new generalization of the Weibull--Topp--Leone--G family of distributions called the odd Weibull--Topp--Leone--G--power series (OW--TL--GPS) family.In the paper we study one of the important characteristics "saturation" of this new family of cumulative functions to the horizontal asymptote with respect to Hausdorff metric. We prove estimates for the Hausdorff approximation of the Heavisidestep function by means of this family.Also we construct and study families of recurrence generatedadaptive functions based on the odd Weibull-Top-Leone-G power series family. In additional we consider a new adaptive model with “polynomial variable transfer”.Some numerical examples and simple programming modules, illustrating the new results are given.
International journal of differential equations and applications, 2019
In this paper we study the characteristic - ”supersaturation” of thecumulative distribution funct... more In this paper we study the characteristic - ”supersaturation” of thecumulative distribution function of the generalized Log–Burr–III distribution to thehorizontal asymptote in the Hausdorff sense.We also analyze some experimental data.The experiments show that in some cases the use of the model proposed in [1] andanalyzed in this article with ”respect to the Hausdorff distance” is satisfactory.Obviously, such studies are a must for the experimenter in the search for dialecticalunity ”data–model”.Numerical examples, illustrating our results are presented using programming environmentCAS Mathematica.
In this article we study some general classes of trigonometric cumulative distribution functions.... more In this article we study some general classes of trigonometric cumulative distribution functions.We consider also modified families of ''adaptive functions'' with ''fractional linear correction''.Here we will also focus on a hypothetical adaptive function, which we will call the ''difference adaptive function'' (DAF).We study the ''saturation'' - $d$ in the Hausdorff sense for some special cases of the families.Numerical examples, illustrating our results using CAS MATHEMATICA are given.
In this paper we study the one-sided Hausdorff approximation of the shifted Heaviside step functi... more In this paper we study the one-sided Hausdorff approximation of the shifted Heaviside step function by a family of Kumaraswamy-Weibull-Exponential cumulative sigmoid. The estimates of the value of the best Hausdorff approximation obtained in this article can be used in practice as one possible additional criterion in ”saturation” study. Numerical examples, illustrating our results are presented using programming environment CAS Mathematica. We also look at a possible extension, which we call γ-Family of Kumaraswamy-WeibullExponential cumulative sigmoid. AMS Subject Classification: 68N30, 41A46
Abstract: This paper describes how dynamic questions for testing in SQL are being created, genera... more Abstract: This paper describes how dynamic questions for testing in SQL are being created, generated and applied into practice at a Distributed e-Testing Cluster–DeTC. As a result, the learners receive unique testing questions, while the database with tests does not grow ...
This paper describes a multilingual graphic editor for creation of circuits, drafts and graphics ... more This paper describes a multilingual graphic editor for creation of circuits, drafts and graphics in such subject areas where it is possible to pre-define the composite graphic elements. The database with testing questions stores only the indices of the composite graphic elements, their coordinates, size and the connections among them. As a result we have a substantial decrease of the size of the database, the data transferred to the learners and, consequently, the time required for visualization of the testing questions on-line. Another important contribution is the opportunities to dynamically generate circuits, drafts and graphics in a number of cases, thus decreasing the number of questions, authored in advance. The graphic editor is developed as an extension to the Dynamic Test Development Tool in Distributed e-Testing Cluster. It is multilingual, i.e. all the elements of the user interface (menus and buttons) are parameterized, with the actual texts of the supported languages s...
In this paper we consider an application to the debugging theory of a class of cumulative exponen... more In this paper we consider an application to the debugging theory of a class of cumulative exponentiated exponential–Poisson distribution functions introduced by Ramos, Dey, Louzada and Lachos. By this family of cumulative distribution functions we study the Hausdorff approximation of the shifted Heaviside step function. Numerical examples, illustrating our results using the programming environment Mathematica are presented. As application in the field of debugging and test theory are given examples with real data including compatibility modifications, operating system upgrade and signaling message processing from year 2000 using the new software reliability model. AMS Subject Classification: 68N30, 41A46
In this paper we introduce and consider a new class of cumulative distribution functions. This cl... more In this paper we introduce and consider a new class of cumulative distribution functions. This class belongs to the important class of functions arising from the theory of impulse techniques, neural networks and debugging theory. By this family we study the Hausdorff approximation of the impulse function σ(t). Numerical examples, illustrating our results using the programming environment CAS MATHEMATICA are presented. AMS Subject Classification: 41A46
In this paper we study the one–sided Hausdorff approximation of the shifted Heaviside step functi... more In this paper we study the one–sided Hausdorff approximation of the shifted Heaviside step function by a class of the Zubair–family of cumulative distribution with baseline Ghosh–Bourguignon’s extended Burr XII c.d.f. The estimates of the value of the best Hausdorff approximation obtained in this article can be used in practice as one possible additional criterion in ”saturation” study. We will illustrate the advances of this new model for approximation and modelling of data for Witty worm for entire world and for USA [1] (see, also [16]) and ”cancer data” (for some details see, [19], [20]. Numerical examples, illustrating our results are presented using programming environment CAS Mathematica. AMS Subject Classification: 68N30, 41A46
International journal of pure and applied mathematics, 2018
In this paper the Hausdorff approximation of the Heaviside step function by a new Modified Laplac... more In this paper the Hausdorff approximation of the Heaviside step function by a new Modified Laplace Cumulative Distribution Function is considered and precise upper and lower bounds for the one–sided Hausdorff distance are obtained. Numerical examples illustrating the obtained results are given too. AMS Subject Classification: 68N30, 41A46
International journal of differential equations and applications, 2019
In [1] the authors proposed a new ”transmuted transmuted – G (TT–G) family” of distributions.The ... more In [1] the authors proposed a new ”transmuted transmuted – G (TT–G) family” of distributions.The authors’ assertion that probability distribution (in some particular cases) pro-duces very good results in approximating specific data from different fields such aspopulation dynamics, biostatistics, survival analysis and others has encouraged us toconduct further studies on ” saturation ” in Hausdorff sense of the corresponding com-mutative function to the horizontal asymptote.We also analyze some experimental data.The experiments show that in some cases the use of the model proposed in [1] andanalyzed in this article with ”respect to the Hausdorff distance” is satisfactory.Numerical examples, illustrating our results are presented using programming en-vironment CAS Mathematica.
In this paper we study the one–sided Hausdorff approximation of the shifted Heaviside step functi... more In this paper we study the one–sided Hausdorff approximation of the shifted Heaviside step function by a family of Odd Burr III Weibull (ODBW) cumulative sigmoid. The estimates of the value of the best Hausdorff approximation obtained in this article can be used in practice as one possible additional criterion in ”saturation” study. Application for the approximating cdf of the number of Bitcoin received per address [17] is also discussed. Numerical examples, illustrating our results are presented using programming environment CAS Mathematica. AMS Subject Classification: 68N30, 41A46
In this paper we study the Hausdorff approximation of the shifted Heaviside step function ht0(t) ... more In this paper we study the Hausdorff approximation of the shifted Heaviside step function ht0(t) by sigmoidal function based on the Lee–Chang–Pham– Song cumulative function and find an expression for the error of the best approximation. We give real examples with small on–line data provided by IBM entry software package using the model. The potentiality of the software reliability models is analyzed. Lee–Chang–Pham–Song’s idea of including the characteristic t (the time when debugging starts after modifying the code causing syntax errors) in the study of models in debugging theory can be successfully expanded. For instance, for the Goel (1980) software reliability model. AMS Subject Classification: 41A46
International journal of differential equations and applications, 2021
In 2021 Oluyede, Chipepa and Wanduku \cite{Olu} developed a new generalization of the Weibull--To... more In 2021 Oluyede, Chipepa and Wanduku \cite{Olu} developed a new generalization of the Weibull--Topp--Leone--G family of distributions called the odd Weibull--Topp--Leone--G--power series (OW--TL--GPS) family.In the paper we study one of the important characteristics "saturation" of this new family of cumulative functions to the horizontal asymptote with respect to Hausdorff metric. We prove estimates for the Hausdorff approximation of the Heavisidestep function by means of this family.Also we construct and study families of recurrence generatedadaptive functions based on the odd Weibull-Top-Leone-G power series family. In additional we consider a new adaptive model with “polynomial variable transfer”.Some numerical examples and simple programming modules, illustrating the new results are given.
International journal of differential equations and applications, 2019
In this paper we study the characteristic - ”supersaturation” of thecumulative distribution funct... more In this paper we study the characteristic - ”supersaturation” of thecumulative distribution function of the generalized Log–Burr–III distribution to thehorizontal asymptote in the Hausdorff sense.We also analyze some experimental data.The experiments show that in some cases the use of the model proposed in [1] andanalyzed in this article with ”respect to the Hausdorff distance” is satisfactory.Obviously, such studies are a must for the experimenter in the search for dialecticalunity ”data–model”.Numerical examples, illustrating our results are presented using programming environmentCAS Mathematica.
In this article we study some general classes of trigonometric cumulative distribution functions.... more In this article we study some general classes of trigonometric cumulative distribution functions.We consider also modified families of ''adaptive functions'' with ''fractional linear correction''.Here we will also focus on a hypothetical adaptive function, which we will call the ''difference adaptive function'' (DAF).We study the ''saturation'' - $d$ in the Hausdorff sense for some special cases of the families.Numerical examples, illustrating our results using CAS MATHEMATICA are given.
In this paper we study the one-sided Hausdorff approximation of the shifted Heaviside step functi... more In this paper we study the one-sided Hausdorff approximation of the shifted Heaviside step function by a family of Kumaraswamy-Weibull-Exponential cumulative sigmoid. The estimates of the value of the best Hausdorff approximation obtained in this article can be used in practice as one possible additional criterion in ”saturation” study. Numerical examples, illustrating our results are presented using programming environment CAS Mathematica. We also look at a possible extension, which we call γ-Family of Kumaraswamy-WeibullExponential cumulative sigmoid. AMS Subject Classification: 68N30, 41A46
Uploads
Papers by Olga Rahneva