In the doctoral dissertation, we consider problems of testing and estimating changed segment with unknown starting position and duration of epidemic state in the autoregressive first-order model. The proposed tests are based on partial sums of model residuals and model-parameter...

Disertacijoje nagrinėjamas pirmos eilės autoregresinio modelio pasikeitusio segmento testavimo ir vertinimo uždavinys. Aprašomo modelio epideminio pasikeitimo pradžia ir ilgis nėra žinomi. Pasiūlyti kriterijai pasikeitusio segmento testavimui, kurie pagrįsti modelio paklaidų...

Value-at-risk (VaR) model as a tool to estimate market risk is considered in the thesis. It is a statistical model defined as the maximum future loss due to likely changes in the value of financial assets portfolio during a certain period with a certain probability. A new definition of the...

Disertacijoje nagrinėjamas vertės pokyčio rizikos modelis. Tai toks statistinis modelis, kurį taikant su tam tikra tikimybe įvertinamas didžiausias galimas nustatyto laikotarpio nuostolis, kredito įstaigos patiriamas dėl neigiamų taikomos finansinės priemonės vertės pokyčių....

We consider the long memory and leverage properties of a model for the conditional variance of an observable stationary sequence, where the conditional variance is the square of an inhomogeneous linear combination of past values of the observable sequence, with square summable weights. This...

We consider the long memory and leverage properties of a model for the conditional variance of an observable stationary sequence, where the conditional variance is the square of an inhomogeneous linear combination of past values of the observable sequence, with square summable weights. This...