شماره ركورد كنفرانس :
3140
عنوان مقاله :
A Survey on B - random Variables
عنوان به زبان ديگر :
A Survey on B - random Variables
پديدآورندگان :
Shishebor Z نويسنده Department of Statistics - Faculty of Science - Shiraz University - Shiraz - Iran , Haghbin H نويسنده Department of Statistics - Faculty of Science - Shiraz University - Shiraz - Iran , Zamani A نويسنده Department of Statistics - Faculty of Science - Shiraz University - Shiraz - Iran
كليدواژه :
Hilbert space , Random Element , Functional data , Hilbertian Autoregressive Process
عنوان كنفرانس :
يازدهمين كنفرانس آمار ايران
چكيده لاتين :
Until recently, the theory of random variables with values in Hilbert spaces. H-R.W. in abbreviation, was not well developed. The position has now changed with developments on operatorial statistics. Besides. these random variables play a crucial role when we are going to analyze data providing information about curves. Surfaces or anything else varying over a continuum, which is known as functional data, analysis. In this talk we are going to introduce and develop the theory of H-R.W. We also provide some examples to illustrate the concept of these random variables. As a special case, autoregressive Hilbertian processes of order 1, ARH (1), are studied. Some of their properties are established and the existence and uniqueness of ARH (1) processes are discussed in brief. Finally, some recent results on this topic are presented
شماره مدرك كنفرانس :
4219389
