In general, the Wireless Sensor Networks (WSNs) are resource constrained, and with high Bit Error Rate (BER) links. Highly reliable transport protocol for this kind of network is challenging and costly in terms ofenergy and delay expenditure. On the other hand, many applications deployed on WSNs can live with some packetslosses provided that the loss rate is tolerable. Hence, the stochastic delivery transport protocols emerge as the applications and network constrains require. The stochastic delivery transport protocols carry out a profitable trade-off between the reliability and resource cost, thereby are adopted by many applications in WSNs. To analyzethe performance metrics of this kind of protocol in multi-hop WSNs, a Finite State Markov Chain (FSMC)-basedmodel is developed in this paper. By using this model the performance parameters of the protocols can be calculated directly, easily and comprehensibly. The effects of different network parameters (such as number the hops, the biterror rate of the wireless link) on the performance are investigated. To enhance the efficiency of stochastic deliveryprotocols, hop by hop acknowledgement scheme is introduced in some stochastic reliable transport protocols, and sodoes the broadcast character of the wireless channel. The analytical results show that the effects of these schemes on performance are diverse with the change of network parameter settings. Finally, the paper presents some advice for improving these protocols based on the analysis. Simulation results also demonstrate the effectiveness of these improvements.