By Ishiguro M., Sakamoto Y.

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**Extra info for A Bayesian approach to binary response curve estimation**

**Example text**

The syntactical models are: Piecewise Deterministic Markov Processes (PDPs) and Communicating Piecewise Deterministic Markov Processes (CPDPs). The semantical models are: Transition Mechanism Structures (TMSs), Non-deterministic Transition Systems (NTSs), Continuous Flow Spontaneous Jump Systems (CFSJSs), and Forced Transition Systems (FTSs). We can distinguish different levels for the semantical and syntactical models that we use. If the behavior of a semantical model M1 can be expressed within the semantical model M2 , then we say that M1 is a higher level semantical model than M2 .

N, λ (ei , e j , ·) are bounded and measurable, λ (ei , e j , ·) ≥ 0. 33), and for all t > 0, i, j = 1, . . s. 6 Assume (A1)–(A4). Let p1 , p2 ,W, X0 and θ0 be independent. 30) has a unique strong solution which is a semimartingale. 1 in [15]. 35) i=1 + Rd Rd g1 (Xt− , θt− , u)q1 (dt, du) φ (Xt− , θt− , θt , u)p2 dt, 0, ΣN (Xt− , θt− ) × du . 7 Assume (A1)–(A4). Let p1 , p2 ,W, X0 and θ0 be independent. 35) has a unique strong solution which is a semimartingale. 30). 6. 30): N d θt = ∑ (ei − θt− )p2 dt, (Σi−1 (Xt− , θt− ), Σi (Xt− , θt− )] × Rd−1 i=1 N = = ∑ (ei − θt−)I(Σi−1 (Xt− ,θt− ),Σi (Xt− ,θt−)] (u1 )p2 (dt, du1 × du) Rd i=1 Rd c(Xt− , θt− , u)p2 (dt, du).

Analysis and Design of Hybrid Systems (ADHS 2003). Eds: S. Engell, H. Gu´eguen, J. Zaytoon. Saint-Malo, Brittany, France, June 16–18, 2003. J. C. J. van der Park (2003). Stochastic analysis background of accident risk assessment for Air Traffic Management. 2. National Aerospace Laboratory NLR. nl/public/hosted-sites/hybridge. [4] Bujorianu, M. and J. Lygeros (2004). General stochastic hybrid systems: Modelling and optimal control. Proc. IEEE Conference on Decision and Control. Bahamas. A. (1984).

### A Bayesian approach to binary response curve estimation by Ishiguro M., Sakamoto Y.

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