Empirical Study of ＂Double Threshold＂ Modified Model on New Product Diffusion

The innovations actually diffuse among social network nowadays.Individual heterogeneity,interactions between individuals and network topology influence a lot.We established a "double threshold" modified model and took the number of neighbors,neighbors' adoption and the cost-benefit parameters as crucial influencing factors.The diffusion of DaLingTong(CDMA450)products in MeiShan city of SiChuan province during 2004 to 2007 has been used to verity the model on Matlab.The validation results fit the actual diffusion pattern of DaLingTong(CDMA450) products very well.The results indicate that there exists a "tipping point(threshold)" in the process of innovation diffusion.If the initial adoption quantity is larger than the tipping point,then the product will spread to a large portion of people,otherwise is will collapse to zero.The model can effectively predict the diffusion of new products,and can influence the diffusion process by changing the value of the parameters.

Highlighting display of geologic bodies based on directivity filtering

To make a geologic body more outstanding, it is necessary to preserve edges when filtering. For this reason, a filtering method based on anisotropic diffusion is introduced. The key point of this method is that diffusion filtering will be made along the edge while diffusion is forbidden in the direction perpendicular to the edge, so the filtering has directionality. When doing anisotropic diffusion filtering, parameters like diffusion coefficient and threshold have great impacts on the results, so the anisotropic diffusion model parameters are discussed, the diffusion coefficient equation is introduced, and the diffusion threshold selection criterion is derived and analyzed. In addition, this method was used with the diffusion coefficient equation＇s proper diffusion threshold to highlight the tidal channel geobodies in the XX area, sand body in the YY area, and faults in the ZZ area. The good delineation results prove that the diffusion threshold selection criterion introduced in this paper is reasonable.

The valuation of barrier options under a threshold rough Heston model

In this paper,we propose a novel model for pricing double barrier options,where the asset price is modeled as a threshold geometric Brownian motion time changed by an integrated activity rate process,which is driven by the convolution of a fractional kernel with the CIR process.The new model both captures the leverage effect and produces rough paths for the volatility process.The model also nests the threshold diffusion,Heston and rough Heston models.We can derive analytical formulas for the double barrier option prices based on the eigenfunction expansion method.We also implement the model and numerically investigate the sensitivities of option prices with respect to the parameters of the model.

Relation between sound transfer function from diffuse sound field to the eardrum and temporary threshold shift

Twelve volunteers with normal hearing (9 males and 3 females) participated in this work The sound transfer functions (STFS) from diffuse sound field to the subject's eardrums were measured and correlated to the temporary threshold shift (TTS) due to fiffuse-exposure.A probe tube with a miniature microphone was used for STF measurements in which successive 1/3 oct bandwidth random noise with central frequency from 0.25 kKz to 8 kHz were used. The subjects were divided into two groups, with the STF maxima at 2 kHz and 4 kHz respectively Pre- and post- exposure sweep Bekesy audiograms were recorded and the temporary thresh old shift calctilated as the difference between the two. Frequency of the maximum TTS was correlated to that of the maximum STF. The average TTS was very small or zero at frequen cies below the band noise exposure , but was noticeable even at the highest measured frequency (8 kHz) for beyond the noise band. Also individual differences in STF were found at frequencies between 2 kHz and 4 kHz