Leontief models, Markov chains, substochastic matrices, and positive solutions of matrix equations

Peterson, Bruce; Olinick, Michael

doi:10.1016/0270-0255(82)90027-6

Cited by 15 publications

(11 citation statements)

References 6 publications

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“…More details about the conditions for the matrices I À A and X can be seen in Peterson & Olinick (1982). The matrix L ¼ ðIÀAÞ À1 is known as the multiplier matrix or the Leontief inverse matrix.…”

Section: Methodsmentioning

confidence: 99%

Effects of final expenditures on ICT goods and services on the croatian domestic output and imports – the input-output approach

Keček

Boljunčić

Milković

2019

Economic Research-Ekonomska Istraživanja

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Information and Communication Technology (ICT) has a significant role in the growth and development of almost every national economy. The aim of this paper is to estimate the overall contribution of final expenditures on ICT goods and services on the domestic output and imports of Croatia in terms of gross value added (GVA) and employment. In order to quantify the direct, indirect and induced effects of final expenditures on ICT goods and services to the overall Croatian economy, input-output (IO) analysis is applied. The results of the empirical analysis show that of all three categories of total final uses, the final consumption expenditure on ICT goods and services recorded the highest total contribution in terms of GVA and in terms of employment. The final consumption expenditure of households had the most important role in generating GVA and employment, while the impact of government and non-profit organisations serving households expenditures was limited. At the activity section level, the majority of GVA and the number of jobs were generated in the activity section J-Information and Communication. The total number of employees induced by final expenditures on goods and services produced by the ICT sectors is estimated at 2.8%. The ICT sectors contributed to the total Croatian GVA in a range higher than 4.5%.

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Section: Methodsmentioning

confidence: 99%

Effects of final expenditures on ICT goods and services on the croatian domestic output and imports – the input-output approach

Keček

Boljunčić

Milković

2019

Economic Research-Ekonomska Istraživanja

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“…The information about conditions for the matrix and the matrix is given in more detailed in [40]. The Leontief Inverse matrix , also known as a multiplier matrix, measures how the total output is changed as a result of the change in final demand.…”

Section: Methodsmentioning

confidence: 99%

Analysis of multiplier effects of ICT sectors – a Croatian case

Keček

Hrustek

Dušak

2016

Croat. Oper. Res. Rev.

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Abstract. The impact of Information and Communication Technology (ICT) on economic growth and development has nowadays proven to be significant for almost all national economies. In this paper, a quantitative analysis of the impact of ICT on Croatian economic growth is performed using the input-output (IO) method. The direct and indirect effects of ICT sectors are analysed. Subsequently, simple output multipliers and simple value added multipliers are then calculated. The results indicate that there are no significant differences between the ICT multipliers for the Croatian economy in 2010 and multipliers of other sectors. The largest values of multipliers of all ICT sectors are attributed to the one of ICT service sector. Moreover, significant changes were also not observed when comparing ICT multipliers for the Croatian economy in 2004 and 2010. In addition to Croatia, multiplier analysis of ICT sectors was conducted for the group of new and long-standing European Union member states. The conclusion is that, in new member states, the implementation and usage of ICT has a lower contribution to economic growth and development.

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“…By noting that, as Re( s )>0, the absolute value of the summation of each row of is strictly less than 1 and the same is also true of (Peterson & Olinick, 1982, Lemma 2.4) gives rise to . Then, the proof is complete in view of (62).…”

mentioning

confidence: 68%

Ruin probabilities in a Sparre Andersen model with dependency structure based on a threshold window

Cheung

Dai

2017

Ann. actuar. sci.

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We analyse ruin probabilities for an insurance risk process with a more generalised dependence structure compared to the one introduced in Constantinescu et al. (2016). In this paper, we assume that a random threshold window is generated every time after a claim occurs. By comparing the previous inter-claim time with the threshold window, the distributions of the current threshold window and the inter-arrival time are determined. Furthermore, the statuses for the previous and current inter-arrival times give rise to the current claim size distribution as well. Like Constantinescu et al. (2016), we first identify the embedded Markov additive process where all the randomness takes a general form. Inspired by the Erlangisation technique, the key message of this paper is to analyse such risk process using a Markov fluid flow model where the underlying random variables follow phase-type distributions. This would further allow us to approximate the fixed observation windows by Erlang random variables. Then ruin probabilities under the process with Erlang(n) observation windows are proved to be Erlangian approximations for those related to the process with fixed threshold windows at the limit. An exact form of the limit can be obtained whose application will be illustrated further by a numerical example.

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Leontief models, Markov chains, substochastic matrices, and positive solutions of matrix equations

Cited by 15 publications

References 6 publications

Effects of final expenditures on ICT goods and services on the croatian domestic output and imports – the input-output approach

Effects of final expenditures on ICT goods and services on the croatian domestic output and imports – the input-output approach

Analysis of multiplier effects of ICT sectors – a Croatian case

Ruin probabilities in a Sparre Andersen model with dependency structure based on a threshold window

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